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Hoque, Hussain Mohammed Imdadul, Saikia, Helen. (1404). A STUDY ON TRI REVERSIBLE RINGS. , 13(2), 133-155. doi: 10.22044/jas.2023.12871.1697
Hussain Mohammed Imdadul Hoque; Helen Kumari Saikia. "A STUDY ON TRI REVERSIBLE RINGS". , 13, 2, 1404, 133-155. doi: 10.22044/jas.2023.12871.1697
Hoque, Hussain Mohammed Imdadul, Saikia, Helen. (1404). 'A STUDY ON TRI REVERSIBLE RINGS', , 13(2), pp. 133-155. doi: 10.22044/jas.2023.12871.1697
Hoque, Hussain Mohammed Imdadul, Saikia, Helen. A STUDY ON TRI REVERSIBLE RINGS. , 1404; 13(2): 133-155. doi: 10.22044/jas.2023.12871.1697

A STUDY ON TRI REVERSIBLE RINGS

Journal of Algebraic Systems
مقاله 9، دوره 13، شماره 2، مهر 2025، صفحه 133-155    اصل مقاله (178.15 K)
نوع مقاله: Original Manuscript
شناسه دیجیتال (DOI): 10.22044/jas.2023.12871.1697
نویسندگان
Hussain Mohammed Imdadul Hoque* ؛ Helen Kumari Saikia
Department of Mathematics, Gauhati University, Guwahati-781014, India.
چکیده
This article embodies a ring theoretic property which, preserves the reversibility of elements at non-zero tripotents. A ring R is defined as quasi tri reversible if any non-zero tripotent element ab of R implies ba is also a tripotent element in R for a, b ∈ R. We explore the quasi tri reversibility of 2 by 2 full and upper triangular matrix rings over various kinds of reversible rings, deducing that the quasi tri reversibility is a proper generalization of reversible rings. It is proved that the polynomial rings are not quasi tri reversible rings. The relation of symmetric rings, IF P and Abelian rings with reversibility and quasi tri reversibility arestudied. It is also observed that the structure of weakly tri normal rings and quasi tri reversible rings are independent of each other.
کلیدواژه‌ها
Reversible rings؛ Quasi tri reversible rings؛ Tripotent elements؛ Abelian rings
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آمار
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