Survey on second submodules of modules over commutative rings
Commutative Algebra
2026-01-26 v2
Abstract
Let R be a commutative ring with identity. The concept of second submodule of an R-module (as a dual notion of prime submodules) was introduced and studied by S.Yassemi in 2001. This notion has obtained a great attention by many authors and now there is a considerable amount of research concerning this class of modules. The main purpose of this paper is to collect these results and provide a useful source for those who are interested in research in this field.
Keywords
Cite
@article{arxiv.2411.09333,
title = {Survey on second submodules of modules over commutative rings},
author = {Faranak Farshadifar},
journal= {arXiv preprint arXiv:2411.09333},
year = {2026}
}