ART Rings

Ranjit Ghumde; Atish  Gour; Manojkumar  Patel

doi:10.5269/bspm.78362

ART Rings

Autores/as

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

DOI:

https://doi.org/10.5269/bspm.78362

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.