Module theory is the branch of mathematics in which modules are studied. This is a glossary of some terms of the subject. See also: Glossary of linear algebra, Glossary of ring theory, Glossary of representation theory. (Wikipedia).
What is a Module? (Abstract Algebra)
A module is a generalization of a vector space. You can think of it as a group of vectors with scalars from a ring instead of a field. In this lesson, we introduce the module, give a variety of examples, and talk about the ways in which modules and vector spaces are different from one an
From playlist Abstract Algebra
This lecture is part of an online graduate course on modular forms. We introduce modular forms, and give several examples of how they were used to solve problems in apparently unrelated areas of mathematics. I will not be following any particular book, but if anyone wants a suggestion
From playlist Modular forms
Modular Forms | Modular Forms; Section 1 2
We define modular forms, and borrow an idea from representation theory to construct some examples. My Twitter: https://twitter.com/KristapsBalodi3 Fourier Theory (0:00) Definition of Modular Forms (8:02) In Search of Modularity (11:38) The Eisenstein Series (18:25)
From playlist Modular Forms
Introduction and Derivation of F[x]-Modules
Modules over a polynomial ring have very important applications to linear algebra. Here we prove some basic properties of F[x]-modules and show how they are related to vector spaces over a field. Ring & Module Theory playlist: https://www.youtube.com/playlist?list=PLug5ZIRrShJExMapwnaKTFX
From playlist Ring & Module Theory
Modular forms: Eisenstein series
This lecture is part of an online graduate course on modular forms. We give two ways of looking at modular forms: as functions of lattices in C, or as invariant forms. We use this to give two different ways of constructing Eisenstein series. For the other lectures in the course see http
From playlist Modular forms
0:00 Motivation for studying modules 4:45 Definition of a vector space over a field 9:31 Definition of a module over a ring 12:12 Motivating example: structure of abelian groups 16:05 Motivating example: Jordan normal form 19:44 What unifies both examples (spoiler): Structure theorem for f
From playlist Abstract Algebra 2
Eureka Math Grade 1 Module 1 Lesson 13
EngageNY/Eureka Math Grade 1 Module 1 Lesson 13 For more videos, please visit http://bit.ly/eurekapusd PLEASE leave a message if a video has a technical difficulty (audio separating from the video). Occasionally, Explain Everything will do that, requiring me to re-render the video. Duane
From playlist Eureka Math Grade 1 Module 1
Building Beautiful Systems with Phoenix Contexts and DDD
Phoenix contexts are a powerful code organization tool - but without a clear idea of what business domains live under the hood of your systems, naively creating contexts leads to over-engineered, fragile systems. Today, we’ll learn about the philosophical roots of Bounded Contexts from the
From playlist Functional Programming
OpenStack on Ales 2013 - Gluster + OpenStack: The 2 Great Tastes...
By John Mark Walker With the release of GlusterFS 3.4 and OpenStack Grizzly, there is now integration across all major storage interfaces in OpenStack and GlusterFS. Specifically, the Glance, Cinder and Swift interfaces all now have direct access to GlusterFS volumes. Furthermore, with the
From playlist OpenStack On Ales 2013
ElixirDaze 2018 - Building beautiful systems with Phoenix contexts... by Andrew Hao
ElixirDaze 2018 - Building beautiful systems with Phoenix contexts and Domain-Driven Design by Andrew Hao
From playlist ElixirDaze 2018
Eureka Math Grade 1 Module 2 Lesson 23
EngageNY/Eureka Math Grade 1 Module 2 Lesson 23 For more videos, please visit http://bit.ly/eurekapusd PLEASE leave a message if a video has a technical difficulty (audio separating from the video). Occasionally, Explain Everything will do that, requiring me to re-render the video. Duane
From playlist Eureka Math Grade 1 Module 2
Bad Math Glossary, or Soviet Propaganda?
A review of "The Algebra Tutor, Algebra 1 and Algebra 2, Volume 1". A textbook/workbook by Willie L. Thomas. It has a great propaganda-esque cover design, and a very finicky glossary to put it nicely. #mathbook #math 00:00 Rest of the Review 19:33 The Bad Glossary 23:00 End Buy a copy o
From playlist The Math Library
Rings 12 Duality and injective modules
This lecture is part of an online course on rings and modules. We descibe some notions of duality for modules generalizing the dual of a vector space. We first discuss duality for free and projective modules, which is very siilar to the vector space case. Then we discuss duality for finit
From playlist Rings and modules
new language at A-level biology
I want to help you achieve the grades you (and I) know you are capable of; these grades are the stepping stone to your future. Even if you don't want to study science or maths further, the grades you get now will open doors in the future. Study (daily and weekly) planners https://www.prim
From playlist AQA A-Level Biology | Ultimate Revision Playlist
English Language and Literature by Dr. Liza Das & Dr. Krishna Barua,Department of Humanities and Social Sciences,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Guwahati: English Language and Literature | CosmoLearning.org English Language
Eureka Math Grade 1 Module 6 Lesson 1
EngageNY/Eureka Math Grade 1 Module 6 Lesson 1 For more Eureka Math (EngageNY) videos and other resources, please visit http://EMBARC.online PLEASE leave a message if a video has a technical difficulty (audio separating from the video, writing not showing up, etc). Occasionally, Explain E
From playlist Eureka Math Grade 1 Module 6
RNT1.4. Ideals and Quotient Rings
Ring Theory: We define ideals in rings as an analogue of normal subgroups in group theory. We give a correspondence between (two-sided) ideals and kernels of homomorphisms using quotient rings. We also state the First Isomorphism Theorem for Rings and give examples.
From playlist Abstract Algebra
