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

 

Continuous rings with ACC on essentials are Artinian


Authors: S. K. Jain, S. R. López-Permouth and S. Tariq Rizvi
Journal: Proc. Amer. Math. Soc. 108 (1990), 583-586
MSC: Primary 16A34; Secondary 16A35
MathSciNet review: 993754
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Abstract: It is proved that a left continuous ring with ascending chain condition on essential left ideals is left artinian.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1990-0993754-0
PII: S 0002-9939(1990)0993754-0
Keywords: Continuous rings, self-injective rings, chain conditions, essential left ideals
Article copyright: © Copyright 1990 American Mathematical Society