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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Artinian duo rings and self-duality
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by Wei Min Xue
Proc. Amer. Math. Soc. 105 (1989), 309-313
DOI: https://doi.org/10.1090/S0002-9939-1989-0938916-5

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.
References
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Bibliographic Information
  • © Copyright 1989 American Mathematical Society
  • 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