Digital Label
The Label name relates to my Grandad’s amature radio ca… Read Full Bio ↴Digital Label
The Label name relates to my Grandad’s amature radio call sign.

He used to have a little room where he would tune in and communicate with people as far away as Russia. This was at a time before the internet was widely available so all his communication was processed in Morse. When I would stay over I would awaken in the night hearing bleeps, Morse code and synthetic waves emitting from his room full of oscillators, amplifiers and early computers.

So when I started to gain interest in electronic music and starting a label his signal ID instantly sprung to mind as a name.

TRACKS

No Related Genres

No Artists Found

More Artists Load All

No Albums Found

No Tracks Found

Genre not found

Artist not found

Album not found

Search results not found

Song not found

Module
GM4EFL Lyrics

No lyrics text found for this track.

The lyrics are frequently found in the comments by searching or by filtering for lyric videos

Comments from YouTube:

Socratica

2y↑1

Socratica Friends, sign up to our email list to be notified when we add more Abstract Algebra materials to our website: https://www.socratica.com/email-groups/abstract-algebra

Terry Endicott

7y↑156

I hope they payed you a lot of dough for that role module.

railspony

Somewhere that bread roll turned into a cheese shtick

Aravind

wow

Tom Hunter

6y↑6

@Fernando Gallardo bread roll

Fernando Gallardo

6y↑1

Drum roll please!

ImSidgr

7y↑94

I love this series so much

George Bockari

6y↑25

I binged watched this series and I'm at the end...This is sad. I would love a Socratica approach to DE

samter

It’s 3 years later, but I just did the exact same thing, and I would love a DE series as well!

samter

3y↑14

I’m really sad that I’m at the end of this playlist; every single video was a real (mod)jewel! Time to console myself and go back to the Python videos!

modolief

7y↑18

Fascinating presentation, and very clear. I liked the examples, they were neither too advanced or too boring. I think modules are one of the lesser discussed structures in the undergraduate math classes. There are a few others about which I'd be interested to see coverage: monoids, groupoids, magmas (that's a recent one?). Also, what is meant by "an algebra"?

Tony Travia

5y↑4

An algebra is a vector space with a bilinear operation, e.g. Lie algebras which are also smooth manifolds

C.Murat Dodan'li

4y↑4

This video series are good!
If i were a Abstract Algebra teacher, I would play this video in my classroom and go get some coffee while watching this with my students ;)

Ninosław Brzostowiecki

7y↑7

Your lectures are so awesome! I wish my professor introduced modules this way.

Christos Georgiadis

5y↑17

Great series! Thank you!

Will there be one on Lie Groups?

Ali Umar

4y↑16

Where is Galois?
The series and your presentations are just excellent,Thank you. You build a beautiful palace but did not finish the ceiling and the roof of that palace.What happened to Galois?? This series should end up showing that there is no general formula for polynomials of degree five and more. Am I correct? Does this series continue? Thank you

MuffinsAPlenty

4y↑4

I wouldn't be surprised if they do some Galois videos at some point, though it might be difficult since understanding Galois theory requires a mastery of group actions and the basics of field theory - and they haven't covered these topics yet. I suppose, if done in a certain way, you can avoid group actions, but the basics of field theory are necessary.

Also, sure, from a historical context, Galois theory, and in particular the Abel-Ruffini Theorem, is the crowning achievement of abstract algebra. But that's only from a historical perspective. Abstract algebra is an extremely useful tool a large variety of mathematics today (e.g., algebraic topology, algebraic geometry, algebraic number theory, mathematical logic, and category theory). The modern use of abstract algebra is to assign algebraic structures to other mathematical objects and use those algebraic structures to learn about the objects. In this sense, ending the series on vector spaces and modules is much more in line with how abstract algebra is used today.

Terry Endicott

7y↑45

Your examples starting at 4:55 are Ideal.

xyzct

3y↑2

I bought Pinter's Abstract Algebra (Dover Books). Glancing through it, it seemed so alien. Then I binge-watched this series; it didn't take long at all. Now a quick look through Pinter looks like familiar territory. I'm 100% positive it's going to make Pinter WAY more simple and enjoyable to read for self-study. THANK YOU SO MUCH!!!

xyzct

3y↑1

@Socratica, well the series goes well beyond just being helpful. By providing a confidence-building overview, it positions one to be able to see the beauty of the subject. And being able to see the beauty inspires motivation to continue exploration. So again, my sincerest thank you!

Socratica

3y↑1

This is so lovely to hear, thank you so much!! It really inspires us to make more of these videos when we hear that we're actually helping. Good luck and let us know how you get on!! 💜🦉

Mohammad Aman Alimy Zada

3y↑1

I WISH YOU ALL THE BEST.
BILLIONS OF THANKS FOR THE EXTRAORDINARY PLAYLIST

Thiago Coura

I've made it. All videos. Thank you so much. This overview helped me a lot to get a general understanding and diminish my anxious having in hands a big book of Abstracted Algebra.

Vladislav Urumov

7y↑1

Incredible series, would really appreciate something about polynomials

Bill Shillito

6y↑1

That explanation of modules was better than every single time I've tried to just read about them. The examples really helped highlight where each piece was being used (the ring and the abelian group), as well as the differences betweeh vector spaces and modules. Thank you!

alkankondo89

7y↑1

Thank you SOOOOOO much for this video!! Finding a video on modules was so frustrating, since the term "module" is more commonly used to mean "a section of a course". So, it took me FOREVER to find a video on what I wanted. (I finally stumbled on this video after using the search phrase "vector space generalization".)

94mathdude

I searched "module algebra". This was the first video that came up.

Karl Stroetmann

I really like this series and would love to see it extended to cover Galois theory.

Abdelillah Jamous

5y↑1

Outstanding explanation, thank you so much team Socratica.

Christopher Kemsley

Oh no! I’m at the end of this series! :( Socratica, will there be more? This has been an incredibly useful and well-made series, but there’s still so much more!

Halil İbrahim Çetin

Awesome video series.
We are eager to gain deep insights on mathematics.So , Socratica did this job really perfect but we still have more ways to reach the destination.

Alkis05

Nice intro to Abstract Algebra. I wish you made a series that dived deeper on specific subjects, maybe group theory. At least cover other algebraic structures that were missing, like lattices.

Soumen Ghosh

4y↑1

great video! after watching this one, I decided to learn/revise modules from your channel, but unfortunate this is the last one in the series :(

awais jamil

Wonderful lecture series on abstract algebra.... Listened all the videos. Keep on doing such kind of work to other mathematics branches like topology, Real analysis etc

Andy Kittross

7y↑3

Great job, as usual. Thank you. Looking forward to more. Maybe Group Actions?

94mathdude

Which lead to automorphisms and semidirect products.

kuzetsa

This makes my brain feel warm and fuzzy. Thank.

online math with asad

4y↑1

Nice style of teaching, i am also interested to teach mathematics like this way, can you guide please about the set up you use for making these awesome videos

Hanyee Productions

I wanted to take a step on abstract algebra, and I think I finally found a perfect series for me, which was such a hidden gem! Now Imma watch this whole series from now on :)

94mathdude

Speaking of series, do a video and composition series and Jordan Holder theorem.

Hanyee Productions

@Socratica I just took the exam and it was not bad! If no Socratica, then I could've failed the test xD thank you so much!

Socratica

3y↑1

We're so glad you've found us! Good luck, and let us know how you get on! 💜🦉

Abhishek A

4y↑1

I just binged 15 videos from abstract algebra. they are great!!!

Shivam Shubham

5y↑2

the explanations are so crisp and clear.. great work.

indu bharathy murugesan

7y↑4

Your videos are very good and helpful. Could you list the books that you are referring for algebra?

K MacDonald

7y↑3

A very good one, with a different feel from Dummit and Foote, is Fred Goodman's Algebra: Abstract and Concrete, which Goodman has made free of charge at
http://homepage.divms.uiowa.edu/~goodman/algebrabook.dir/algebrabook.html. (He requests that, if you download a copy and use it, you make a donation to the charity of your choice.) Another great book with many of the same concepts is Ian Stewart's Galois Theory, Fourth Edition: https://www.crcpress.com/Galois-Theory-Fourth-Edition/Stewart/p/book/9781482245820.

Socratica

7y↑5

We're so glad you are enjoying our videos!! That really inspires us to make more!
We're recommending the following text for Abstract Algebra right now (link below). If we come up with some more, we'll add them to the description box of the video. Good luck with your studies, and keep us posted about your progress!!
Dummit & Foote, Abstract Algebra 3rd Editionhttp://amzn.to/2oOBd5S

Marcio Barbado, Jr.

4y↑1

You guys are awesome teachers!

Naimul Haq

Excellent !!! [Liliana, Michael and Kimberly have done a great service to Mathematics. Edward Freenkel's dream of uniting the various mathematical 'islands', seems easy for you. In your next video, I hope you can do justice to Edward's dream. ]
If I could view this series 40 years ago, I probably could have the insight Witten have, enabling him to reveal the secrets of nature. But having viewed, I have a number of questions. 1) How does abstract Algebra provide insight into 'infinity' and 'zero'. What insight do we get about 'infinite sets', Cantor's cardinal/ordinal numbers, from abstract algebra. 2) What does abstract algebra tell us about 'self-reference'?

AaSma LiaQat

3y↑1

Thanks for your lecture It is very helpful to understand the modules...

ibn e zohad

The great mathematician❤️👌

Barnard Rabenold

7y↑2

It got easier to understand when you plugged in some numbers. Additional examples would make it more clear.

Abdul Rab

they should upload exercises.

Mircea Pintelie

4y↑1

oh I remember the joy of searching for the dividers of 0 in modulo n😫

Sandeep k

5y↑1

I want more videos on abstract algebra, it very helped me please👨‍💼

Worldboy

Socratica, way to master a format, when I grow up I want to be Socratica!

online math with asad

4y↑1

Great way of teaching pure mathematics

Anya CHAN

Great Great work.This is real education. Already shared, membership settled from today.

Socratica

4y↑2

Thank you so much for your kind words. We're so happy you are watching! 💜🦉

udendran mudaliyar

could you kindly make important mathematics videos related to computer science ?

Deven Gorwala

Wowww fantastic....I like the way you are teaching.👌👌👌👍

Deepali Pohare

5y↑11

Hi I am one of the follower of your channel, where are u socratica?
We need next videos on Algebra as well as other subjects of maths.

Please upload another videos.

Mahwish Rabbani

Awesome hats off of your work

Joaquim Moore

7y↑5

Por Favor. Ponham legendas em Português.

Itachi Uchiha

Modules are when you need to abstract your abstractions.

MARIA BIBI

6y↑1

simply great

Mamadou Alieu Jallow

5y↑2

Thanks so much. God bless you

Fernando Franco Félix

After watching all this reproduction list there's one unclear to me: is subtracting just adding inverses?

K.S. Willy

4y↑2

Yes

Picardal Rochell

Module: Let's make students suffer!
Double Module: That sound fun!
Me: But I'm Already Suffering..
School: R U Sure about that

Dan Zap

"Die Module spiel´n verrückt. Mensch, ich bin total verliebt. Weil auf Liebe programmiert. Mit Gefühl. Schalt mich ein und schalt mich aus. Die Gefühle müssen raus ..." *sing

Ray Rocher

7y↑6

role module funny nice lady. this encourages math.

94mathdude

Great intro. Up next time to teach cohomology theory.

Yon Yao

thnks for d basic idea ,much needed to start modules❤️

Lalit Rastogi

Pls give me some videos on linear algebra!

KunRunner

Thank you so much.

Joseph Lombardi

5y↑1

can you please make a video about ideals? You are the only person on YouTube who makes this stuff easy to understand! Or as easy as possible!

94mathdude

Ideals are examples of modules with the standard ring multiplication.

K MacDonald

7y↑2

This is really great. My introductory ring theory course didn't get as far as modules, and module theory always feels like a brick wall of abstraction when I try to read about it. Many thanks.

NIKEY 365 NIKEY

you are AMAZINGGGGGGGG!

ABDUL HAMEED AFRIDI

outstandig explanation..Keep it up

Brian Crane

7y↑2

OK by the end of your explanation my brain hurts. So I need to watch the series from the beginning. I can tell you're saying something very important and profound but I need to come up to your speed. Many thanks for your simple, clear and concise presentation!

Socratica

7y↑2

We're so glad you've found us! Starting from the beginning of the playlist is a great idea. Feel free to post questions! We get to them when we can, and also fellow viewers often contribute great answers. Thanks for watching! :)

Uroš Grandovec

its worth watching even just for the jokes!

Oleg Dats

In linear algebra, you can multiply matrix by matrix (not only scalar) and the result is another matrix. Matrix belongs to ring because not every matrix is invertible. Linear algebra looks more like module space. Can you please explain why we call it vector space?

SpaghettiToaster

We don't call linear algebra a vector space. We call it linear algebra. It just deals a lot with vector spaces. But in the case of matrices or tensors, it doesn't, but it's still algebra and it's still linear.

Rishab Jain

can you make more abstract algebra videos

Jim Newton

A module is composed of a group G and a ring R. What happens (1) if I consider a subgroup of G, that does make a submodule? (2) if I consider a subring of R, does that also form a submodule?

MuffinsAPlenty

5y↑1

Good questions!

(1) Maybe. A submodule has to be a subset of G which is also a module by the same operations (the group operation of G and the scalar multiplication from R). In particular, if you have a subgroup of G, then it is a submodule of G if and only if it is closed under scalar multiplication from R.

(2) No. It wouldn't be a "sub"module. However, if you have a subring of R, say S, then the R-module structure on G induces an S-module structure on G, by having the same scalar multiplication. In fact, given any R-module M and a commutative unital ring S, and a ring homomorphism φ : S → R with φ(1_S) = 1_R, then this homomorphism and R-module structure induces an S-module structure on M as well, where scalar multiplication from s is defined by
s∙m := φ(s)∙m.
This is called "restriction of scalars", and your question explains why one would think to name it as such: this method allows you to restrict your scalars to a subring.

CyrusV

7y↑1

Other topics such as Topology and Algebraic Topology would make your channel much better

amit mishra

Wow really it's very helpful 🙏🏽

akash gupta

She gave a nice presentation.

hoolerboris

quick question, at the definition of module. is the 1·m=m equality a requirement or its own, or doesnt it follow from the associativity (r1·r2)·m = r1·(r2·m)? we have (1·1)·m = 1·(1·m) => 1·m = 1·(1·m). I suppose that from that, we can assume that 1·m=m. (or does it require an additional cancelability thing that isnt necessarily part of the definition?)

MuffinsAPlenty

1·m=m is necessary to state.

For example, let your ring be Z (the ring of integers), and let M be the set of rational numbers.

Define the addition on M to be the same as rational number addition. Define your scalar multiplication on M to be n·m= 0 for all n in Z and for all m in M.

This satisfies all of the conditions of a module except for 1·m=m.

xdcountry

hahahaha--- killed, love that ending

94mathdude

A variety is also a class of objects in geometry and topology.

ABDUL HAMEED AFRIDI

outstanding

Gouri Shankar Sahoo

5y↑2

Why vector space defined on a field not an integral domain

Mohamed Azeem

Nicely explained

Tomasz Antczak

7y↑4

I like it.

Anthony Vasaturo

"Instead of talking about finite dimensional, we talk about finitely generated." Well, not exactly, the dimension theory for modules is not only rich, but crazy important. It's a more advanced topic, so I don't blame for you for avoiding it, but I think that sentence is misleading.

MuffinsAPlenty

@Anthony Vasaturo I still feel like you're taking that out of context. The context of surrounding this line in the video is contrasting vector spaces and modules. They show how all finite-dimensional vector spaces are isomorphic to a direct product of the field (making the notions of finitely generated and free of finite rank coincide), and then go on to show that the concepts of finitely generated and free of finite rank do not coincide for modules. In the vector space context, we use the word "dimension" for the minimal number of generators/rank, but we do not use the same word (in the same way) in the context of modules.

I can understand why you might dislike that part of the video because the word "dimension" in module theory does have a meaning which is different from the meaning in vector space theory, but I think bringing up that meaning is missing the point of what the video is saying.

Anthony Vasaturo

@MuffinsAPlenty Alright. The point is that it's not correct to suggest that discussing the dimensional of a module should be replaced by the notion of how many generators it has, even though the latter shares some similarity with the traditional notion of a vector space. Whether or not the video intended to make this claim isn't the point; it came across that way to me. Dimension, at least as far as I've seen and used it, even though it is not as accessible and intuitive, is far more important than the number of generators of a module, even though the latter more closely represents the notion of dimension for vector spaces over a field.

MuffinsAPlenty

@Anthony Vasaturo You're right - I probably didn't.

Anthony Vasaturo

@MuffinsAPlenty I don't think you understood the point I was trying to make.

MuffinsAPlenty

I disagree with your critique. The word "dimension" doesn't mean the same thing in the vector space context as it does in the module context. After all, all vector spaces have Krull dimension 0. So if you're trying to find an analogue between vector spaces and modules, that's not the comparison you want to make.

There are many analogues you can find for "vector space dimension" in the module context. The most natural, by far, to anyone who hasn't studied module theory heavily is number of generators. In this sense, finite dimensional vector spaces would correspond to finitely generated modules. Another analogue you can give is length of a module (but you have to study composition series for this and show that the length of a vector space coincides with the dimension). In this sense, finite dimensional vector spaces would correspond to modules of finite length.

Deena Ambalavanan

Wonderful mam

Halil İbrahim Çetin

The last joke cut my breath:)

ammar siddiqui

i enjoyed this a lot

Nikita Srivastava

Very nice lecture...

saurabh singh

thank you madam....

Rajat Taneja

6y↑1

Great mam

koko mamado

i clapped at the end of this playlist

Peter Santos

7y↑1

Explain lattice please

Brian Meyrick

5y↑1

Role Module .. oh my sainted Aunts :-) x

Sandra Surendran

Want more topics in this series.

sujit mohanty

4y↑1

Superb exposition....

Secret

I thought fields would be stronger than rings

Appears I was wrong

Afroj Ahmad

"role Module" nice pun BTW

Mohd Sartaj

Nice explanation mam

Sanat Ghosh

Please describe about the division algebra on modules theory

Sadaqat Ali

MAM .PLZZ proof that there exist a free R.module on any set S plzzz reply fast as soon as.....

Angel Corvalan

esto está muy chido

Ashish kumar upadhyay

Very nice ,how can we found all guidelines which is you gives us..

Tural SADIGOV

Funny joke at the end :))

Mr.Tamasam Hadayat Bhatti

7y↑1

please tell me why we study vector spaces???? please clear my point

Inayat Ullah Sheikh

Outstanding series

Dhananjay Sahani

Very nice way of teaching mam

Mahmoud .4M

7y↑1

Go Go we want more

Load More Comments...

More Comments

just now