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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Amenable subsemigroups of a locally compact group


Author: Joe W. Jenkins
Journal: Proc. Amer. Math. Soc. 25 (1970), 766-770
MSC: Primary 22.05; Secondary 22.20
DOI: https://doi.org/10.1090/S0002-9939-1970-0263967-1
MathSciNet review: 0263967
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Abstract | References | Similar Articles | Additional Information

Abstract: Let $G$ be an amenable locally compact group and $S$ an open subsemigroup of $G$. It is shown that $S$ is amenable if, and only if, the right ideals of $S$ have the finite intersection property.


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Additional Information

Keywords: Amenable semigroup, left uniformly continuous functions, Arens product, left invariant means, semigroup kernel
Article copyright: © Copyright 1970 American Mathematical Society