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The Nilpotent Regular Element Problem
Published online by Cambridge University Press: 20 November 2018
Abstract
We use George Bergman's recent normal form for universally adjoining an inner inverse to show that, for general rings, a nilpotent regular element $x$ need not be unit-regular. This contrasts sharply with the situation for nilpotent regular elements in exchange rings (a large class of rings), and for general rings when all powers of the nilpotent element $x$ are regular.
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- Research Article
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- Copyright © Canadian Mathematical Society 2016
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