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A CHARACTERIZATION OF UNIT REGULAR RINGS
Journal article   Peer reviewed

A CHARACTERIZATION OF UNIT REGULAR RINGS

Victor P Camillo and Dinesh Khurana
Communications in Algebra, Vol.29(5), pp.2293-2295
04/30/2001
DOI: 10.1081/AGB-100002185

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Abstract

It is proved that a ring R is unit regular if and only if every element a of R can be written as e + u such that aR ∩ eR = 0, where e is an idempotent and u a unit in R.

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