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ON MAXIMAL ESSENTIAL EXTENSIONS OF RINGS

Part of: Modules, bimodules and ideals

Published online by Cambridge University Press:  29 October 2010

R. R. ANDRUSZKIEWICZ
R. R. ANDRUSZKIEWICZ*
Affiliation:
Institute of Mathematics, University of Białystok, 15-267, Białystok, Akademicka 2, Poland (email: randrusz@math.uwb.edu.pl)
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Abstract

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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.

Keywords

idealessential idealessential extensionmodule

MSC classification

Secondary: 16D25: Ideals
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 83 , Issue 2 , April 2011 , pp. 329 - 337
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

References

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