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Displaying 1121 – 1140 of 1398

The subalgebra lattice of a finite algebra

Konrad Pióro (2014)

Open Mathematics

The aim of this paper is to characterize pairs (L, A), where L is a finite lattice and A a finite algebra, such that the subalgebra lattice of A is isomorphic to L. Next, necessary and sufficient conditions are found for pairs of finite algebras (of possibly distinct types) to have isomorphic subalgebra lattices. Both of these characterizations are particularly simple in the case of distributive subalgebra lattices. We do not restrict our attention to total algebras only, but we consider the more...

The subalgebra lattice of a Heyting algebra

Luc Vrancken-Mawet, Georges Hansoul (1987)

Czechoslovak Mathematical Journal

The submaximal clones on the three-element set with finitely many relative R-classes

Erkko Lehtonen, Ágnes Szendrei (2010)

Discussiones Mathematicae - General Algebra and Applications

For each clone C on a set A there is an associated equivalence relation analogous to Green's R-relation, which relates two operations on A if and only if each one is a substitution instance of the other using operations from C. We study the maximal and submaximal clones on a three-element set and determine which of them have only finitely many relative R-classes.

The theory of abstract algebras with infinitary operations [Book]

J. Słomiński (1959)

The theory of core algebras: its completeness.

Freyd, Peter (2007)

Theory and Applications of Categories [electronic only]

The variety generated by tournaments

Jaroslav Ježek, P. Marković, M. Maróti, R. McKenzie (1999)

Acta Universitatis Carolinae. Mathematica et Physica

The weak hereditary class of a variety

Wiktor Bartol, Francesc Rosselló (2006)

Czechoslovak Mathematical Journal

We study the weak hereditary class $S_{w} (𝒦)$ of all weak subalgebras of algebras in a total variety $𝒦$ . We establish an algebraic characterization, in the sense of Birkhoff’s HSP theorem, and a syntactical characterization of these classes. We also consider the problem of when such a weak hereditary class is weak equational.