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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 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.

Théorie des magmoïdes

A. Arnold, M. Dauchet (1979)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

Théorie des magmoïdes (I)

A. Arnold, M. Dauchet (1978)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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