Results 31 to 40 of about 93 (82)
Elementary orthodox semigroups
Semigroup Forum, 1984 A semigroup is said to be elementary if it is generated by a subset \(A\cup B\) where \(aba=a\) and \(bab=b\) for all \(a\in A\), \(b\in B\). The authors extend their earlier work [Semigroup Forum 15, 295-309 (1978; Zbl 0403.20040)], in which free elementary orthodox semigroups were defined and their existence established, by studying the free ...
Williams, W., Eberhart, Carl
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On orthodox semigroups determined by their bundles of correspondences [PDF]
Pacific Journal of Mathematics, 1992 It is known that the set \({\mathcal C}(S)\) of all correspondences of any given algebra \(S\) (i.e. stable binary relations on \(S\)) forms a partially ordered semigroup with involution with respect to the partial order ``\(\subseteq\)'', the composition ``\(\circ\)'' and the unary operation ``\(^{-1}\)''.
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Lattice isomorphisms of orthodox semigroups [PDF]
Bulletin of the Australian Mathematical Society, 1992 It is shown that the set of all orthodox subsemigroups of an orthodox semigroup forms a lattice. This lattice is a join-sublattice of the lattice of all semigroups, but is not in general a meet-sublattice. We obtain results concerning lattice isomorphisms between orthodox semigroups, several of which include known results for inverse semigroups as ...
Katherine G. Johnston, F.D. Cleary
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Unit-regular orthodox semigroups [PDF]
Glasgow Mathematical Journal, 1984 Unit-regular rings were introduced by Ehrlich [4]. They arose in the search for conditions on a regular ring that are weaker than the ACC, DCC, or finite Goldie dimension, which with von Neumann regularity imply semisimplicity. An account of unit-regular rings, together with a good bibliography, is given by Goodearl [5].
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Boltzmann Configurational Entropy Revisited in the Framework of Generalized Statistical Mechanics. [PDF]
Entropy (Basel), 2022 Scarfone AM.
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Kernels of orthodox semigroup homomorphisms [PDF]
Journal of the Australian Mathematical Society, 1976 Any congruence on an orthodox semigroup S induces a partition of the set E of idempotents of S satisfying certain normality conditions. Meakin (1970) has characterized those partitions of E which are induced by congruences on S as well as the largest congruence ρ and the smallest congruence σ on S corresponding to such a partition of E. In this paper a
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Semigroup ForumAbstract An element e of an ordered semigroup $$\left( S,\cdot ,\le \right) $$ S ,
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Certain subsemigroups of orthodox semigroups
Semigroup Forum, 1985 Let S be an orthodox semigroup and E(S) the band of idempotents of S. The author describes (1) the least fundamental inverse congruence on S, (2) the greatest subsemigroup of S containing E(S) which is a union (band) of groups, and (3) a necessary and sufficient condition for the union of maximal subgroups of S to be a subsemigroup of S.
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Matrix congruences on orthodox semigroups
Semigroup Forum, 1985 A matrix congruence \(\sigma\) on a semigroup S is a congruence for which S/\(\sigma\) is a rectangular band. In this paper, the author presents conditions by which a matrix congruence on the band \(E_ S\) of idempotents of an orthodox semigroup S can be extended to a matrix congruence on S.
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