I-Reversible rings

By Anjana Khurana, Dinesh Khurana. Journal of Algebra and its Applications, 2020

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We study rings in which [Formula: see text] nonzero idempotent implies [Formula: see text] is also an idempotent. We call such rings i-reversible. Besides studying the basic properties of i-reversible rings, we characterize i-reversible triangular matrix rings, i-reversible matrix rings over commutative rings and i-reversible exchange rings.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/464c5e81e6230a5b73ed7b211a6a30e9484fd95f