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Free inverse semigroups

Published:1973 Issue:1 Volume:38 Page:1-7
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Scheiblich H. E.

Abstract

At least three authors have offered proofs of the existence of a free inverse semigroup, but without describing its structure. This paper shows that if X X is a nonempty set, G G is the group on X X , and E E is a certain subsemilattice of the power set of G G , then a certain collection of principal ideal isomorphisms of E E is a free inverse semigroup on X X .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1973-038-01/S0002-9939-1973-0310093-1/S0002-9939-1973-0310093-1.pdf

Reference5 articles.

1. Mathematical Surveys, No. 7;Clifford, A. H.,1961

2. One-parameter inverse semigroups;Eberhart, Carl;Trans. Amer. Math. Soc.,1972

3. A homomorphism theorem for semigroups;McAlister, D. B.;J. London Math. Soc.,1968

4. V. V. Vagner, Generalized heaps and generalized groups with the transitive relation of compatibility, Učen. Zap. Saratov. Gos. Univ. Ser. Meh-Mat. 70 (1961), 25-39. (Russian)

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