Uniqueness of topology for commutative semisimple $F$-algebras
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- by R. L. Carpenter PDF
- Proc. Amer. Math. Soc. 29 (1971), 113-117 Request permission
Abstract:
Let B be an F-algebra and A be a commutative semisimple F-algebra such that the spectrum of A contains no isolated points. We prove that any homomorphism of B onto A is necessarily continuous. Let A be a commutative semisimple algebra. We prove that there is at most one topology with respect to which A is an F-algebra.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 29 (1971), 113-117
- MSC: Primary 46J05
- DOI: https://doi.org/10.1090/S0002-9939-1971-0298424-0
- MathSciNet review: 0298424