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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On simple injective rings


Author: Sigurd Elliger
Journal: Proc. Amer. Math. Soc. 40 (1973), 93-94
MSC: Primary 16A52
DOI: https://doi.org/10.1090/S0002-9939-1973-0320074-X
MathSciNet review: 0320074
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Abstract: It is proved that a simple ring which is injective on both sides must be artinian. This answers a question asked by C. Faith in the negative.


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DOI: https://doi.org/10.1090/S0002-9939-1973-0320074-X
Article copyright: © Copyright 1973 American Mathematical Society