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
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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