A STUDY ON TRI REVERSIBLE RINGS
Publish place: Journal of Algebraic Systems، Vol: 13، Issue: 2
Publish Year: 1404
Type: Journal paper
Language: English
View: 26
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JR_JAS-13-2_009
Index date: 15 March 2025
A STUDY ON TRI REVERSIBLE RINGS abstract
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.
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A STUDY ON TRI REVERSIBLE RINGS authors
Hussain Mohammed Imdadul Hoque
Department of Mathematics, Gauhati University, Guwahati-۷۸۱۰۱۴, India.
Helen Saikia
Department of Mathematics, Gauhati University, Guwahati-۷۸۱۰۱۴, India.
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