I-primary submodules
Ismael Akray, Halgurd S. Hussein
TL;DR
This paper introduces and studies a new generalization of weakly primary submodules called I-primary submodules, exploring their properties, characterizations, and behavior under localization and decomposition.
Contribution
It defines I-primary submodules, provides their characterizations, and analyzes their properties in localizations and decomposition modules.
Findings
Characterization of I-primary submodules
Behavior of I-primary submodules under localization
Properties in decomposition modules
Abstract
In this paper, we give a generalization for weakly primary submodules called -primary submodule and we study some properties of it. We give some characterizations of -primary submodules. Also we establish the situation of -primary submodules in module localizations and decomposition modules.
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Taxonomy
TopicsRings, Modules, and Algebras · Commutative Algebra and Its Applications · Algebraic structures and combinatorial models