Advanced Abstract Algebra NEA2RVQ02J

URI	`m2://res/NEA2RVQ02J`
Kind	course
Creators	Kanchan Joshi (instructor), R. K. Sharma (instructor)
Scope	in
Ids	course 049tgcd06:111102009

Expressions

Language	en

Contents

part 1: Module 1
session 1: Rings
session 2: Morphisms and anti-morphisms of rings
part 2: Module 2
session 3: Modules
session 4: Submodules and Direct Sum
session 5: R-Homomorphism
session 6: Simple Modules/ Semisimple Modules
session 7: Free Modules: Introduction
session 8: Free Modules: Results
session 9: Free Modules
part 3: Module 3
session 10: Artinian Modules
session 11: Noetherian Modules
session 12: Artinian and Noetherian Rings
session 13: Hilbert Basis Theorem
session 14: Wedderburn-Artin Theorem
session 15: Uniform Modules, Primary Modules, and Nother-Lasker Theorem
part 4: Module 4
session 16: Smith Normal form over a PID and rank
session 17: Smith Normal Form
session 18: Proof of Smith Normal Form
session 19: Uniqueness of Smith Normal Form
part 5: Module 5
session 20: Modules over PID
session 21: Finitely generated modules over PID(Elementary divisor form; Uniqueness)
session 22: Rational Canonical Form
session 23: Generalized Jordan form over any field