EUDML

Currently displaying 1 – 11 of 11

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The sixtieth birthday of Professor Bedřich Pondělíček

Marie Demlová — 1992

Czechoslovak Mathematical Journal

Endomorphism monoids of bands.

Marie Demlová; Václav Koubek — 1989

Semigroup forum

Weak alg-universality and $Q$ -universality of semigroup quasivarieties

Marie Demlová; Václav Koubek — 2005

Commentationes Mathematicae Universitatis Carolinae

In an earlier paper, the authors showed that standard semigroups $𝐌_{1}$ , $𝐌_{2}$ and $𝐌_{3}$ play an important role in the classification of weaker versions of alg-universality of semigroup varieties. This paper shows that quasivarieties generated by $𝐌_{2}$ and $𝐌_{3}$ are neither relatively alg-universal nor $Q$ -universal, while there do exist finite semigroups $𝐒_{2}$ and $𝐒_{3}$ generating the same semigroup variety as $𝐌_{2}$ and $𝐌_{3}$ respectively and the quasivarieties generated by $𝐒_{2}$ and/or $𝐒_{3}$ are quasivar-relatively $f f$ -alg-universal and $Q$ -universal...

On universality of semigroup varieties

Marie Demlová; Václav Koubek — 2006

Archivum Mathematicum

A category $K$ is called $α$ -determined if every set of non-isomorphic $K$ -objects such that their endomorphism monoids are isomorphic has a cardinality less than $α$ . A quasivariety $Q$ is called $Q$ -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 $Q$ . We say that a variety $V$ is var-relatively alg-universal if there exists a proper subvariety $W$ of $V$ such that homomorphisms of $V$ whose image does...