Equations on the semidirect product of a finite semilattice by a -trivial monoid of height
F. Blanchet-Sadri (1995)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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F. Blanchet-Sadri (1995)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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Marie Demlová, Václav Koubek (2006)
Archivum Mathematicum
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A category is called -determined if every set of non-isomorphic -objects such that their endomorphism monoids are isomorphic has a cardinality less than . A quasivariety is called -universal if the lattice of all subquasivarieties of any quasivariety of finite type is a homomorphic image of a sublattice of the lattice of all subquasivarieties of . We say that a variety is var-relatively alg-universal if there exists a proper subvariety of such that homomorphisms of whose...
Martin Kuřil (1997)
Archivum Mathematicum
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A multiplication of e-varieties of regular -solid semigroups by inverse semigroup varieties is described both semantically and syntactically. The associativity of the multiplication is also proved.
Bedřich Pondělíček (1991)
Mathematica Bohemica
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The paper contains characterizations of semigroup varieties whose semigroups with one generator (two generators) are permutable. Here all varieties of regular -semigroups are described in which each semigroup with two generators is permutable.
Mario Petrich (2014)
Czechoslovak Mathematical Journal
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An inverse semigroup is pure if , , implies ; it is cryptic if Green’s relation on is a congruence; it is a Clifford semigroup if it is a semillatice of groups. We characterize the pure ones by the absence of certain subsemigroups and a homomorphism from a concrete semigroup, and determine minimal nonpure varieties. Next we characterize the cryptic ones in terms of their group elements and also by a homomorphism of a semigroup constructed in the paper. We also characterize...