The structure of generalized inverse semigroups

We prove that the structure of right generalized inverse semigroups is determined by free étale actions of inverse semigroups. This leads to a tensor product interpretation of Yamada’s classical structure theorem for generalized inverse semigroups.

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Bibliographic Details
Published in:Semigroup forum 2014-08, Vol.89 (1), p.199-216
Main Authors: Kudryavtseva, Ganna, Lawson, Mark V.
Format: Article
Language:English
Subjects:
Algebra
Mathematics
Mathematics and Statistics
Research Article
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Description
Summary:We prove that the structure of right generalized inverse semigroups is determined by free étale actions of inverse semigroups. This leads to a tensor product interpretation of Yamada’s classical structure theorem for generalized inverse semigroups.
ISSN:0037-1912
1432-2137
DOI:10.1007/s00233-013-9518-3