Results 31 to 40 of about 89 (75)
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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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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Identities of orthodox semigroup rings
Semigroup Forum, 1994 Let \(R\) be a ring with identity, let \(S\) be a semigroup, and let \(T\) be the subsemigroup of \(S\) generated by all idempotents of \(S\). The semigroup ring of \(S\) over \(R\) is denoted by \(R[S]\). The author is interested in the two following problems. Problem 1: when is \(R[S]\) a ring with identity? Problem 2: suppose that \(R[S]\) is a ring
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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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Time-Energy and Time-Entropy Uncertainty Relations in Nonequilibrium Quantum Thermodynamics under Steepest-Entropy-Ascent Nonlinear Master Equations. [PDF]
Entropy (Basel), 2019 Beretta GP.
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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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$J$-compatible orthodox semigroups
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1979 openaire +4 more sources