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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Separable topological algebras. I
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by Michael J. Liddell
Trans. Amer. Math. Soc. 195 (1974), 31-59
DOI: https://doi.org/10.1090/S0002-9947-1974-0352985-9

Abstract:

Let A be a complete topological algebra with identity and B a subalgebra of the center of A. A notion of relative topological tensor product ${\hat \otimes _B}$ for topological A modules and the resultant relative homology theory are introduced. Algebras of bidimension zero in this sense are called separable relative to B. Structure theorems are proved for such algebras under various topological assumptions on the algebra and its maximal ideal space.
References
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Bibliographic Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 195 (1974), 31-59
  • MSC: Primary 46H05; Secondary 46M20
  • DOI: https://doi.org/10.1090/S0002-9947-1974-0352985-9
  • MathSciNet review: 0352985