Submodules
Channel: Andrew Misseldine
Date: 2022-02-23

In this video, we introduce the notion of a submodule, that is, a module inside of a module. We mention how subspaces from linear algebra are just submodules of a vector space. Many parallels are made between linear algebra and module theory. Several examples and elementary properties are presented. In particular, the notion of a spanning set is introduced.

This is lecture 22 (part 2/2) of the lecture series offered by Dr. Andrew Misseldine for the course Math 4230 - Abstract Algebra II at Southern Utah University. A transcript of this lecture can be found at Dr. Misseldine's website or through his Google Drive at: 
https://drive.google.com/file/d/1T9ORlKNRMURk0dq_XJu8DzHSAphzT9Q0/view

This lecture is based upon Sections 20.2 of Abstract Algebra: Theory and Applications (http://abstract.ups.edu/) by Tom Judson. Please post any questions you might have below in the comment field and Dr. Misseldine (or other commenters) can answer them for you. Please also subscribe for further updates.