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Directoids: algebraic models of up-directed sets
- J. Jezek, R. Quackenbush
- Mathematics
- 1 March 1990
Definability in the lattice of equational theories of semigroups
- J. Jezek, R. McKenzie
- Mathematics
- 1 December 1993
We study first-order definability in the latticeL of equational theories of semigroups. A large collection of individual theories and some interesting sets of theories are definable inL. As examples,…
Definability in Substructure Orderings, II: Finite Ordered Sets
- J. Jezek, R. McKenzie
- MathematicsOrder
- 23 January 2010
TLDR
Finitely generated algebraic structures with various divisibility conditions
- J. Jezek, Vítězslav Kala, T. Kepka
- Mathematics
- 2012
Abstract. Infinite fields are not finitely generated rings. A similar question is considered for further algebraic structures, mainly commutative semirings. In this case, purely algebraic methods…
Subdirectly irreducible semilattices with an automorphism
- J. Jezek
- Mathematics
- 1 December 1991
In other words, SA is the variety of semilattices with one automorphism (which is, as well as its inverse, considered as an additional fundamental operation). The aim of this paper is to find all…
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