Results 41 to 50 of about 541 (105)
We solve the word problem for the free objects in the variety consisting of bands with a semilattice transversal.
Albert, Justin, Pastijn, Francis
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Quivers of monoids with basic algebras
We compute the quiver of any monoid that has a basic algebra over an algebraically closed field of characteristic zero. More generally, we reduce the computation of the quiver over a splitting field of a class of monoids that we term rectangular monoids (
Aguiar +27 more
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The isomorphism problem for orthodox semigroups [PDF]
The author's structure theorem for orthodox semigroups [ibid. 39, 677-686 (1971; Zbl 0232.20124)] produced an orthodox semigroup \({\mathcal H}(E,T,\psi)\) from a band \(E\), an inverse semigroup \(T\) and a morphism \(\psi\) between two inverse semigroups, namely \(T\) and \(W_ E/\gamma\), an inverse semigroup constructed from \(E\).
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Semigroups whose idempotents form a subsemigroup [PDF]
We prove that every semigroup S in which the idempotents form a subsemigroup has an E-unitary cover with the same property. Furthermore, if S is E-dense or orthodox, then its cover can be chosen with the same property. Then we describe the structure of E-
Almeida, Jorge +2 more
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Some Classes Of Semigroups That Have Medial Idempotent And Some Construction Theorem [PDF]
It's known that the set of idempotents of the semigroup, plays an important role forthe structure of this semigroup. Specially, in the regular semigroups, an importantrole plays presence of the medial idempotent and normal medial idempotent.Blyth,T.
Edmond Pİ, Osman HYSA
core
On the variety of strict pseudosemilattices
A new model, in terms of finite bipartite graphs, of the free pseudosemilattice is presented. This will then be used to obtain several results about the variety SPS of all strict pseudosemilattices: (i) an identity basis for SPS is found, (ii) SPS is ...
Auinger, K., Oliveira, L.
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Orthodox semigroups and permutation matchings [PDF]
We determine when an orthodox semigroup S has a permutation that sends each member of S to one of its inverses and show that if such a permutation exists, it may be taken to be an involution. In the case of a finite orthodox semigroup the condition is an effective one involving Green's relations on the combinatorial images of the principal factors of S.
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Ash's type II theorem, profinite topology and Malcev products [PDF]
This paper is concerned with the many deep and far reaching consequences of Ash's positive solution of the type II conjecture for finite monoids. After rewieving the statement and history of the problem, we show how it can be used to decide if a finite ...
Henckell, Karsten +3 more
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Boltzmann Configurational Entropy Revisited in the Framework of Generalized Statistical Mechanics. [PDF]
Scarfone AM.
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Kernels of orthodox semigroup homomorphisms [PDF]
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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