ART Rings

  • Ranjit Ghumde Ramdeobaba University, Nagpur
  • Atish Gour Department of Mathematics, Ramdeobaba University, Nagpur, Maharashtra, India 440013.
  • Manojkumar Patel Department of Mathematics, NIT Nagaland https://orcid.org/0000-0003-1010-261X

Resumen

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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Publicado
2025-10-07
Sección
Mathematics and Computing - Innovations and Applications (ICMSC-2025)