2-absorbing and strongly 2-absorbing secondary submodules of modules
H. Ansari-Toroghy, F. Farshadifar
TL;DR
This paper introduces and explores the properties of 2-absorbing and strongly 2-absorbing secondary submodules, generalizing secondary modules within module theory over commutative rings.
Contribution
It defines new classes of secondary submodules and investigates their fundamental properties, extending the theory of secondary modules.
Findings
Introduction of 2-absorbing secondary submodules
Introduction of strongly 2-absorbing secondary submodules
Basic properties and generalizations of these classes
Abstract
In this paper, we will introduce the concept of 2-absorbing (resp. strongly 2-absorbing) secondary submodules of modules over a commutative ring as a generalization of secondary modules and investigate some basic properties of these classes of modules.
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Taxonomy
TopicsRings, Modules, and Algebras · Algebraic structures and combinatorial models · Advanced Topics in Algebra