Algebraic isomorphisms of limit algebras

Donsig, A.; Hudson, T.; Katsoulis, E.

doi:10.1090/S0002-9947-00-02714-8

Algebraic isomorphisms of limit algebras
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by A. P. Donsig, T. D. Hudson and E. G. Katsoulis

Trans. Amer. Math. Soc. 353 (2001), 1169-1182

DOI: https://doi.org/10.1090/S0002-9947-00-02714-8

Published electronically: November 17, 2000

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Abstract:

We prove that algebraic isomorphisms between limit algebras are automatically continuous, and consider the consequences of this result. In particular, we give partial solutions to a conjecture and an open problem by Power. As a further consequence, we describe epimorphisms between various classes of limit algebras.

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