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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Coherence of polynomial rings over semisimple algebraic algebras
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by Andrew B. Carson PDF
Proc. Amer. Math. Soc. 34 (1972), 20-24 Request permission

Abstract:

It is shown that polynomial rings in finitely or infinitely many central indeterminates, over a commutative algebraic algebra without nilpotent elements, are coherent. If the coefficient ring is algebraic over the real numbers, then the commutativity assumption, above, may be dropped.
References
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 34 (1972), 20-24
  • MSC: Primary 16A48
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0291216-9
  • MathSciNet review: 0291216