ART Rings

Authors

  • 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

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

Issue

Vol. 43 No. 3 (2025): Mathematics and Computing - Innovations and Applications (ICMSC-2025)

Section

Conf. Issue: Mathematics and Computing - Innovations and Applications

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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