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I-Reversible rings
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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.
World Scientific Pub Co Pte Lt
Title: I-Reversible rings
Description:
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.
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