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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Orders in separable algebras
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by Richard B. Tarsy PDF
Proc. Amer. Math. Soc. 49 (1975), 43-46 Request permission

Abstract:

The module ${P^ \ast }/m{P^ \ast }$, where $P$ is an order in a separable algebra over the quotient field of an integrally closed, quasi-local domain, is studied. It is shown that if the domain is complete, ${P^ \ast }/m{P^ \ast }$ contains one element from each isomorphism class of irreducible $P$ modules. Also, in general, if the global dimension of $P$ is finite, then it equals the homological dimension of ${P^ \ast }/m{P^ \ast }$.
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 49 (1975), 43-46
  • MSC: Primary 16A16
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0364333-5
  • MathSciNet review: 0364333