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
On the structure of submodule of finitely generated module over PID - XiongRui - 博客园
abstract algebra - A finitely generated torsional free module A over a principal ideal domain is free - Mathematics Stack Exchange
Finitely Generated Modules and Maximal Submodules | Physics Forums
Prove that a finitely generated module over a P.I.D. is proj | Quizlet
PRIME EXTENSION FILTRATION OF MODULES T. Duraivel1 §, S. Mangayarcarassy2, K. Premkumar3 1Department of Mathematics Pondicherry
Finitely Generated Modules Over a PID
Problem Set 5
PDF) The Primary Radical of a Submodule
arXiv:0706.0111v1 [math.RA] 1 Jun 2007
SOLVED: Let R be a Noetherian ring; (a) If M, N,and T are R-modules, where N M is a submodule of M, show that there is a bijection HomR (M/N,T) f €
Module Theory From now on, R will denote an arbitrary ring with 1 ...
Finitely-generated modules over a principal ideal domain
Math 513. Homework Set 7 Professor Karen E. Smith Due Friday March 9, 2012
PDF) S-maximal Submodules | Muna Abbas - Academia.edu
commutative algebra - Every submodule is finitely generated iff every nonempty collection of submodules has a maximal element - Mathematics Stack Exchange
principal ideal domains - Need help understanding a step in a proof about modules over PIDs - Mathematics Stack Exchange
Sub-module | Finitely generated module| cyclic module | Advanced abstract algebra full lectures - YouTube
KSOM ALGEBRA II 2021 MAY–AUG NOTES AND EXERCISES: FINITELY GENERATED ABELIAN GROUPS Consider a short exact sequence of A-modul
Math 371 Assignment 1
Solved (5) Prove that if M is a finitely generated R-module | Chegg.com
Solved 1. Define a finitely generated module. 141 Consider | Chegg.com
Structure of finitely generated modules over a PID - YouTube
