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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Quotient rings of Noetherian module finite rings


Authors: A. W. Chatters and C. R. Hajarnavis
Journal: Proc. Amer. Math. Soc. 121 (1994), 335-341
MSC: Primary 16P50; Secondary 16S90, 16U20
MathSciNet review: 1198452
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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.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1198452-2
PII: S 0002-9939(1994)1198452-2
Article copyright: © Copyright 1994 American Mathematical Society