Minimal algebras and category equivalences
Minimal algebras in some class of algebras
Minimal bounded varieties
Minimal compatible tolerances on lattices
Minimal conditions on Clifford semigroup congruences.
Minimal formations of universal algebras
A class ℱ of universal algebras is called a formation if the following conditions are satisfied: 1) Any homomorphic image of A ∈ ℱ is in ℱ; 2) If α₁, α₂ are congruences on A and , i = 1,2, then A/(α₁∩α₂) ∈ ℱ. We prove that any formation generated by a simple algebra with permutable congruences is minimal, and hence any formation containing a simple algebra, with permutable congruences, contains a minimum subformation. This result gives a partial answer to an open problem of Shemetkov and Skiba...
Minimal generics from subvarieties of the clone extension of the variety of Boolean algebras
Let τ be a type of algebras without nullary fundamental operation symbols. We call an identity φ ≈ ψ of type τ clone compatible if φ and ψ are the same variable or the sets of fundamental operation symbols in φ and ψ are nonempty and identical. For a variety of type τ we denote by the variety of type τ defined by all clone compatible identities from Id(). We call the clone extension of . In this paper we describe algebras and minimal generics of all subvarieties of , where is the variety of...
Minimal generics of some regular varieties
Minimal varieties of -groups.
Mittelwertstrukturen.
Mixed pseudo-associativities of Bandler-Kohout compositions of relations
This paper considers compositions of relations based on the notion of the afterset and the foreset, i. e., the subproduct, the superproduct and the square product introduced by Bandler and Kohout with modification proposed by De Baets and Kerre. There are proven all possible mixed pseudo-associativity properties of Bandler – Kohout compositions of relations.
Modular elements in congruence lattices of -sets.
Modular groupoids
Modular median algebras
Modular median algebras generated by some partial modular median algebras
Modulare Inzidenzstrukturen
Modulare Polynomverbände über endlichen distributiven Verbänden.
Modularity and distributivity of the lattice of -closed subsets of an algebraic structure
Let be an algebraic structure of type and a set of open formulas of the first order language . The set of all subsets of closed under forms the so called lattice of -closed subsets of . We prove various sufficient conditions under which the lattice is modular or distributive.
Modularity and distributivity of tolerance lattices of commutative separative semigroups
Modularity and distributivity of tolerance lattices of commutative inverse semigroups