English

Second semimodules over commutative semirings

Commutative Algebra 2025-05-16 v1

Abstract

Let R be a semiring. We say that a non-zero subsemimodule S of an R-semimodule M is second if for each a \in R, we have aS = S or aS = 0. The aim of this paper is to study the notion of second subsemimodules of semimodules over commutative semirings.

Keywords

Cite

@article{arxiv.2505.09966,
  title  = {Second semimodules over commutative semirings},
  author = {Faranak Farshadifar},
  journal= {arXiv preprint arXiv:2505.09966},
  year   = {2025}
}
R2 v1 2026-06-28T23:33:57.613Z