On (k,n)-closed submodules
Ece Yetkin Celikel
TL;DR
This paper introduces and investigates new classes of submodules called semi n-absorbing and (k, n)-closed submodules over commutative rings, exploring their fundamental properties.
Contribution
It defines semi n-absorbing and (k, n)-closed submodules and studies their basic properties, expanding the theory of submodules in module theory.
Findings
Defined semi n-absorbing submodules
Introduced (k, n)-closed submodules
Explored properties and relationships of these submodules
Abstract
Let R be a commutative ring with unity and M be an R- module In this paper we introduce semi n- absorbing and (k, n)-closed submodules of modules over commutative rings, and investigate their basic properties.
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Taxonomy
TopicsRings, Modules, and Algebras · Algebraic structures and combinatorial models · Advanced Topics in Algebra