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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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The power substitution for rings of complex and real functions on compact metric spaces
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by A. N. Dranishnikov
Proc. Amer. Math. Soc. 123 (1995), 2887-2893
DOI: https://doi.org/10.1090/S0002-9939-1995-1307512-5

Abstract:

The weak power substitution property for rings of matrices over the ring of functions on a compact metric space X is given in terms of cohomological dimension. A compactum with the ring of complex functions $C(X)$ having the following property is constructed: the units of $C(X)$ are not dense in $C(X)$ and they are dense among squares.
References
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Bibliographic Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 2887-2893
  • MSC: Primary 55M10; Secondary 15A54, 16S60
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1307512-5
  • MathSciNet review: 1307512