ART Rings
Résumé
A ring R is said to be an ART ring if each member of R can be represented as the sum of a regular element (in the von Neumann sense), a tripotent element, and a nilpotent element. This article introduces and studies ART rings, highlighting the role of tripotent elements in such decompositions. Several fundamental properties and key results related to ART rings are investigated.
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Publiée
2025-10-07
Rubrique
Mathematics and Computing - Innovations and Applications (ICMSC-2025)
Copyright (c) 2025 Boletim da Sociedade Paranaense de Matemática
Ce travail est disponible sous la licence Creative Commons Attribution 4.0 International .
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The journal utilize the Creative Common Attribution (CC-BY 4.0).
