ON MAXIMAL ESSENTIAL EXTENSIONS OF RINGS-Reference-Cited by-同舟云学术

ON MAXIMAL ESSENTIAL EXTENSIONS OF RINGS

Published:2010-10-29 Issue:2 Volume:83 Page:329-337
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Aust. Math. Soc.

Author:

ANDRUSZKIEWICZ R. R.

Abstract

AbstractThe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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