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On a Class of Inverse Semigroups

American Journal of Mathematics, 1962
In this note we investigate the structure of a special class of inverse sernigroups-inverse semigroups the non-zero idempotents of which are primitive. We show that an inverse semigroup S has its non-zero idempoteits primitive if and only if it is a class sum of its Brandt ideals. A set of other equivalent conditions on S is also obtained.
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IDENTITIES OF FINITE INVERSE SEMIGROUPS

International Journal of Algebra and Computation, 1993
Inverse semigroups are considered as algebras with two operations: multiplication and inversion. We prove that there are no inherently non-finitely based finite inverse semigroups. In constrast, if we consider inverse semigroups as semigroups (one binary operation) then it was proved by the author that almost all finite inverse semigroups are ...
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On the Structure of Inverse Semigroup Amalgams

International Journal of Algebra and Computation, 1997
This paper is the second of two papers devoted to the study of amalgamated free products of inverse semigroups. We use the characterization of the Schützenberger automata given previously by the author to obtain structural results and preservational properties of lower bounded amalgams.
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Topologies on the symmetric inverse semigroup

Semigroup Forum, 2022
Carlos Uzcategui
exaly  

Metrics on doubles as an inverse semigroup II

Journal of Mathematical Analysis and Applications, 2021
Vladimir Manuilov
exaly  

Inverse semigroups

1995
Abstract In planning the chapter on inverse semigroups the main problem has been one of selection. As long ago as 1961, Clifford and Preston offered the opinion that inverse semigroups were the most promising class of semigroups for future study, and the intervening years have amply justified their forecast.
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Languages and inverse semigroups

1984
Stuart W. Margolis, Jean-Eric Pin
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F-Inverse Semigroups

Proceedings of the London Mathematical Society, 1971
McFadden, R., O'Carroll, L.
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Congruences of a Permutable Inverse Semigroup of Finite Rank

Ukrainian Mathematical Journal, 2005
V D Derech
exaly  

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