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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

One parameter submonoids in locally compact differentiable monoids


Author: Mitch Anderson
Journal: Proc. Amer. Math. Soc. 106 (1989), 261-268
MSC: Primary 22A15
MathSciNet review: 946630
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Abstract: Differentiable semigroups based on generalized manifolds were recently introduced by George Graham. We show that such locally compact monoids in which the multiplication is strongly differentiable at $ (1,1)$ must contain nontrivial one parameter submonoids.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1989-0946630-5
PII: S 0002-9939(1989)0946630-5
Keywords: One parameter subsemigroups, one parameter submonoids, differentiable semigroup, power associative multiplication
Article copyright: © Copyright 1989 American Mathematical Society