Quotient Rings of Noetherian Module Finite Rings

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jun 1994 United Kingdom Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 121, page 335 (issn: 0002-9939,

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Authors: Chatters, AW; Hajarnavis, CR;

doi: 10.2307/2160404 , 10.1090/s0002-9939-1994-1198452-2

handle: 1983/90bdecd0-1c87-4549-a015-7ffcb18d4f3f

Quotient Rings of Noetherian Module Finite Rings

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Abstract

Let R be a Noetherian ring which is a finite module over its centre C . We obtain a necessary and sufficient condition for R to have a full quotient ring. We also show that when such a quotient ring does exist, it is obtained by inverting those elements of C which are regular in R .

Country

United Kingdom

Related Organizations

University of Bristol
United Kingdom

Keywords

clique, Noetherian rings and modules (associative rings and algebras), module finite over the center, Rings with polynomial identity, partial quotient ring, Ore rings, multiplicative sets, Ore localization, localization, Localization and associative Noetherian rings, Centralizing and normalizing extensions, regular primes, noetherian rings, classical full quotient ring, lying over, Ideals in associative algebras

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