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On a Class of Inverse Semigroups
American Journal of Mathematics, 1962In 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, 1993Inverse 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, 1997This 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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Metrics on doubles as an inverse semigroup II
Journal of Mathematical Analysis and Applications, 2021Vladimir Manuilov
exaly
EMBEDDING INVERSE SEMIGROUPS IN BISIMPLE INVERSE SEMIGROUPS
The Quarterly Journal of Mathematics, 1965openaire +1 more source
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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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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Proceedings of the London Mathematical Society, 1971
McFadden, R., O'Carroll, L.
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McFadden, R., O'Carroll, L.
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Congruences of a Permutable Inverse Semigroup of Finite Rank
Ukrainian Mathematical Journal, 2005V D Derech
exaly

