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AbstractWe initiate here a systematic equational classification of semilattice-ordered semigroups. We start with various examples. Then we consider semilattice-ordered semigroups satisfying the… (More)
The ‘canonical embedding approach’ was introduced by the second author and, subsequently, it has been applied several times to prove the embeddability of certain regular extensions by groups into… (More)
We use syntactical methods (fully invariant stable quasiorders) to study varieties of ordered semigroups. We prove that the lattice of all varieties of semigroups is embedded into the lattice of all… (More)
For every natural number n such that 2n + 1 is a prime, we present an explicit monic irreducible n degree polynomial with integer coefficients whose Galois group over the field of all rational… (More)
We construct, classify and enumerate all non-isomorphic ordered semigroups of size at most 7. In the special case of linearly ordered semigroups we achieve size 10.
A multiplication of e-varieties of regular $E$-solid semigroups by inverse semigroup varieties is described both semantically and syntactically. The associativity of the multiplication is also proved.
Prace je zaměřena na tvorbu, aktivaci a nasazenim dvou nejběžnějsich a nejfrekventovanějsich seskupeni, kterými jsou požarni a povodňový odřad v podminkach hasicskeho zachranneho sboru Středoceskeho… (More)
We define semantically a partial multiplication on the lattice of all e–varieties of regular semigroups. In the case that the first factor is an e–variety of orthodox semigroups we describe our… (More)
Let B(k,0,n) denote the group with k generators which is free in the group variety defined by the identity xn=1. Let Bslo(k,1,n) denote the semilattice-ordered semigroup with k generators which is… (More)