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Proceedings of the American Mathematical Society

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

 

 

Artinian duo rings and self-duality


Author: Wei Min Xue
Journal: Proc. Amer. Math. Soc. 105 (1989), 309-313
MSC: Primary 16A35; Secondary 16A15
DOI: https://doi.org/10.1090/S0002-9939-1989-0938916-5
MathSciNet review: 938916
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Abstract: We show that the endomorphism ring of the minimal cogenerator over an Artinian duo ring is still an Artinian duo ring, and that an Artinian duo ring has self-duality if its Jacobson radical is a direct sum of colocal ideals.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1989-0938916-5
Keywords: Morita duality, Artinian duo rings
Article copyright: © Copyright 1989 American Mathematical Society