Contents
![abstract algebra - How to prove that as an $R$-module, $\mathbb{C}^n$ is finitely generated iff $R=\mathbb{C}[x]$. - Mathematics Stack Exchange](https://i.stack.imgur.com/xxHJE.png "abstract algebra - How to prove that as an $R$-module, $\mathbb{C}^n$ is finitely generated iff $R=\mathbb{C}[x]$. - Mathematics Stack Exchange")
abstract algebra - How to prove that as an $R$-module, $\mathbb{C}^n$ is finitely generated iff $R=\mathbb{C}[x]$. - Mathematics Stack Exchange
Finitely Generated Modules Over a PID
abstract algebra - Are torsion submodules not unique? - Mathematics Stack Exchange
Finitely Generated Abelian Groups
PDF) Structure Theorem for Rings Whose Finitely Generated Modules are Direct Sums of Virtually Simple Modules
PDF) On the structure of submodule of finitely generated module over PID
Abstract Algebra II: structure theorems for finitely generated modules over PID, 4-23-18 - YouTube
4.6 Modules over a Principal Ideal Domain
abstract algebra - Proofs of the structure theorem for finitely generated modules over a PID - Mathematics Stack Exchange
Finitely Generated Modules Over a PID
principal ideal domains - Need help understanding a step in a proof about modules over PIDs - Mathematics Stack Exchange
abstract algebra - Let $M$ be a free module over a PID with finite rank, then any submodule $N \subset M$ is also free with finite rank - Mathematics Stack Exchange
PDF) A Finitely Generated Module over a Valuation Domain
PDF) A Note on Finitely Generated Modules over a PID
Finitely generated modules and the Noetherian condition - YouTube
abstract algebra - A finitely generated torsional free module A over a principal ideal domain is free - Mathematics Stack Exchange
PDF) Finitely generated modules over quasi-Euclidean rings
Assignment 10 – Part 1 – Math 611 (1) A torsion-free module over Z that is not free. Here is a good 'counterexample' to
6. Modules over Principal Ideal Domains. The aim of this chapter is to determine the structure of any finitely generated module
CHARACTERIZATION OF PRIME SUBMODULES OF A FINITELY GENERATED FREE MODULE OVER A PID 1. Introduction Throughout this paper R deno
Finitely generated modules over a P.I.D. and the Smith Normal Form | Matt Baker's Math Blog
Finitely Generated Modules over a PID
Module over PID(2) - Cyclic Decomposition - YouTube
Modules over a PID Hjalmar Rosengren, 20 October 2015 We will classify all finitely generated modules over a PID R. One very imp
STRUCTURE THEOREM OF FINITELY GENERATED MODULES OVER A PID Notation 1. For a left R-module M and x ∈ M, the (left) annihilator
Structure of finitely generated modules over a PID - YouTube
Finitely Generated Modules Over a PID
