ART Rings
Abstract
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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Published
2025-10-07
Section
Mathematics and Computing - Innovations and Applications (ICMSC-2025)
Copyright (c) 2025 Boletim da Sociedade Paranaense de Matemática
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