Second semimodules over commutative semirings

2025/05/15 by Farshadifar, Faranak
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2505.09966

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 ∈ 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.

Citations

• Survey on second submodules of modules over commutative rings
• Some aspects of k-ideals of semirings
• On k-Noetherian and k-Artinian Semirings

Related

• Some generalizations of second submodules
• Survey on second submodules of modules over commutative rings
• Semimodules over commutative semirings and modules over unitary\n commutative rings
• ψ-second submodules of a module
• On Semisimple Semirings