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ON MAXIMAL ESSENTIAL EXTENSIONS OF RINGS
Published online by Cambridge University Press: 29 October 2010
Abstract
The main purpose of this paper is to give a new, elementary proof of Flanigan’s theorem, which says that a given ring A has a maximal essential extension ME(A) if and only if the two-sided annihilator of A is zero. Moreover, we discuss the problem of description of ME(A) for a given right ideal A of a ring with an identity.
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- Research Article
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- Copyright © Australian Mathematical Publishing Association Inc. 2010
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