On idempotents of a class of commutative rings
Fernanda D. de Melo Hern\'andez, C\'esar A. Hern\'andez Melo, Horacio, Tapia-Recillas
TL;DR
This paper introduces a method for finding idempotent elements in certain commutative rings with specific ideal sequences, and applies it to various examples to demonstrate its effectiveness.
Contribution
It presents a novel procedure for determining idempotents in a class of commutative rings based on their ideal structure.
Findings
Method successfully determines idempotents in various rings
Examples illustrate the application of the procedure
Provides a systematic approach for analyzing ring idempotents
Abstract
In the present work, a procedure for determining idempotents of a commutative ring having a sequence of ideals with certain properties is presented. As an application of this procedure, idempotent elements of various commutative rings are determined. Several examples are included illustrating the main results.
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Taxonomy
TopicsRings, Modules, and Algebras · Fuzzy and Soft Set Theory · Advanced Topics in Algebra