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BEYOND ORTHODOX SEMIGROUPS

by Victoria Gould, Yanhui Wang
"... Abstract. We introduce the notions of a generalised category and of an inductive generalised category over a band. Our purpose is to describe a class of semigroups which we name weakly B-orthodox. In doing so we produce a new approach to characterising orthodox semigroups, by using inductive general ..."
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Abstract. We introduce the notions of a generalised category and of an inductive generalised category over a band. Our purpose is to describe a class of semigroups which we name weakly B-orthodox. In doing so we produce a new approach to characterising orthodox semigroups, by using inductive

Regular Semigroups with a S0 − Orthodox Transversal

by K. Indhira, V. M. Ch
"... In this paper, we consider another generalization for quasi-ideal or-thodox transversal, the so-called S0-orthodox transversals. We give a structure theorem for regular semigroups with S0-orthodox transver-sals. If S0 is a S0-orthodox transversal of S then S can be described in terms of S0. ..."
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In this paper, we consider another generalization for quasi-ideal or-thodox transversal, the so-called S0-orthodox transversals. We give a structure theorem for regular semigroups with S0-orthodox transver-sals. If S0 is a S0-orthodox transversal of S then S can be described in terms of S0.

A Multiplication Of E-Varieties Of Orthodox Semigroups

by Martin Kuril , 1995
"... We define semantically a partial multiplication on the lattice of all e-varieties of regular semigroups. In the case that the first factor is an e-variety of orthodox semigroups we describe our multiplication syntactically in terms of biinvariant congruences. ..."
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We define semantically a partial multiplication on the lattice of all e-varieties of regular semigroups. In the case that the first factor is an e-variety of orthodox semigroups we describe our multiplication syntactically in terms of biinvariant congruences.

E-UNITARY ALMOST FACTORIZABLE ORTHODOX SEMIGROUPS

by B. Szendrei
"... Abstract. It is established that an E-unitary almost factorizable orthodox semigroup need not be isomorphic to a semidirect prod-uct of a band by a group, and a necessary and sufficient condition is given for an E-unitary almost factorizable orthodox semigroup to be isomorphic to such a semidirect p ..."
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Abstract. It is established that an E-unitary almost factorizable orthodox semigroup need not be isomorphic to a semidirect prod-uct of a band by a group, and a necessary and sufficient condition is given for an E-unitary almost factorizable orthodox semigroup to be isomorphic to such a semidirect

A REPRESENTATION OF THE FREE ELEMENTARY ORTHODOX SEMIGROUP

by Carl Eberhart, Wiley Williams
"... Abstract. The free elementary inverse semigroup 27 has a simple representa-tion as a semigroup of transformations on the set of integers. In this note, we obtain a fairly simple representation of a pre-image of 27, the free elementary orthodox semigroup (9. Let (9(I) denote the free elementary ortho ..."
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Abstract. The free elementary inverse semigroup 27 has a simple representa-tion as a semigroup of transformations on the set of integers. In this note, we obtain a fairly simple representation of a pre-image of 27, the free elementary orthodox semigroup (9. Let (9(I) denote the free elementary

LATTICE ISOMORPHISMS OF BISIMPLE MONOGENIC ORTHODOX SEMIGROUPS

by Simon M. Goberstein
"... ar ..."
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A MULTIPLICATION OF E {VARIETIES OF ORTHODOX SEMIGROUPS

by Archivum Mathematicum, Martin Kuřil, Martin Kuøil
"... This paper has been digitized, optimized for electronic delivery and stamped ..."
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This paper has been digitized, optimized for electronic delivery and stamped

arXiv version: fonts, pagination and layout may vary from the SF published version BISIMPLE MONOGENIC ORTHODOX SEMIGROUPS

by Simon M. Goberstein
"... ar ..."
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Classes of semigroups modulo Green’s relation H

by Xavier Mary
"... Inverses semigroups and orthodox semigroups are either defined in terms of inverses, or in terms of the set of idempotents E(S). In this article, we study analogs of these semigroups defined in terms of inverses modulo Green’s relation H, or in terms of the set of group invertible elements H(S), tha ..."
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Inverses semigroups and orthodox semigroups are either defined in terms of inverses, or in terms of the set of idempotents E(S). In this article, we study analogs of these semigroups defined in terms of inverses modulo Green’s relation H, or in terms of the set of group invertible elements H

FUNDAMENTAL SEMIGROUPS HAVING A BAND OF IDEMPOTENTS

by Gracinda M. S. Gomes, Victoria Gould , 2007
"... The construction by Hall of a fundamental orthodox semigroup WB from a band B provides an important tool in the study of orthodox semigroups. We present here a semigroup SB that plays the role of WB for a class of semigroups having a band of idempotents B. Specifically, the semigroups we consider a ..."
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The construction by Hall of a fundamental orthodox semigroup WB from a band B provides an important tool in the study of orthodox semigroups. We present here a semigroup SB that plays the role of WB for a class of semigroups having a band of idempotents B. Specifically, the semigroups we consider
Results 1 - 10 of 24