Results 161 to 170 of about 26,213 (204)

On Free Inverse Semigroups

SemiGroup Forum, 2000
For a given set \(X\), denote by \(G_X\) the set of finite directed trees whose edges are labelled by members of \(X\), with two distinguished vertices. In this note, using techniques of rewriting theory, a new proof is given of the theorem of Munn that the free inverse semigroup on \(X\) is isomorphic to a semigroup defined on the set of so-called ...
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REPRESENTATIONS OF LOCALLY INVERSE *-SEMIGROUPS

International Journal of Algebra and Computation, 1996
The first author obtained a generalization of Preston-Vagner Representation Theorem for generalized inverse *-semigroups. In this paper, we shall generalize their results for locally inverse *-semigroups. Firstly, by introducing a concept of a π-set (which is slightly different from the one in [7]), we shall construct the π-symmetric locally inverse *
Teruo Imaoka, Isamu Inata, Hiroaki Yokoyama   +2 more
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On equations in inverse semigroups

Algebra Universalis, 2002
It is shown for an inverse semigroup \(\mathcal S\) which is not a group, the system \(x_1=x_2\) and \(x_3=x_4\) of equations in \(\mathcal S\) is not equivalent to any equation as well as the disjunction \(x_1=x_2\) or \(x_3=x_4\).
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The Universal Covering of an Inverse Semigroup

Applied Categorical Structures, 2008
Considerable part of the article is devoted to presheaves on a small category. For example, transition injective presheaves (that is, its transition maps are injective) as well as transition bijective presheaves on a small category are described. The results obtained are applied to the category \(L(T)\), \(T\) an inverse semigroup, whose objects are ...
Jonathon Funk, Benjamin Steinberg
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THE HOMOTOPY THEORY OF INVERSE SEMIGROUPS

International Journal of Algebra and Computation, 2002
We show that abstract homotopy theory can be used to define a suitable notion of homotopy equivalence for inverse semigroups. As an application of our theory, we prove a theorem for inverse semigroup homomorphisms which is the exact counterpart of the well-known result in topology which states that every continuous function can be factorized into a ...
Mark V. Lawson, Joseph Matthews, Tim Porter   +2 more
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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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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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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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Topologies on the symmetric inverse semigroup

Semigroup Forum, 2022
Carlos Enrique Uzcátegui
exaly  

EMBEDDING INVERSE SEMIGROUPS IN BISIMPLE INVERSE SEMIGROUPS

The Quarterly Journal of Mathematics, 1965
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