Add to ORKGInternational audienceLet k be a k-element set. We show that the lattice of all strong partial clones on k has no minimal elements. Moreover, we show that if C is a strong partial clone, then the family of all partial subclones of C is of continuum cardinality. Finally we show that every non-trivial strong partial clone contains a family of continuum cardinality of strong partial subclones
Achieving a classification of all clones of operations over a finite set is one of the goals at the ...
Let A be a finite non-singleton set. For A ={0, 1} we show that the set of all self-dual monotonic p...
Abstract. To every locally closed clone, one can assign a larger clone in a canonical way. We examin...
International audienceLet k be a k-element set. We show that the lattice of all strong partial clone...
International audienceIn a recent paper, the authors show that the sublattice of partial clones that...
International audienceThe following natural problem, first considered by D. Lau, has been tackled by...
International audienceThe study of partial clones on 2 := {0, 1} was initiated by R. V. Freivald. In...
International audienceD. Lau raised the problem of determining the cardinality of the set of all par...
peer reviewedThe following result has been shown recently in the form of a dichotomy: For every to...
International audienceA strong partial clone is a set of partial operations closed under composition...
International audienceWe survey known results and present some new ones about intersections of maxim...
AbstractWe investigate interpolation and extrapolation properties of composition-closed sets of part...
AbstractCompleteness or primality for partial algebras on a finite universe A is defined in a way si...
All minimal clones containing a three-element grupoid have been determined in [3]. In this paper we ...
peer reviewedIn a recent paper, the authors show that the sublattice of partial clones that preserve...
Achieving a classification of all clones of operations over a finite set is one of the goals at the ...
Let A be a finite non-singleton set. For A ={0, 1} we show that the set of all self-dual monotonic p...
Abstract. To every locally closed clone, one can assign a larger clone in a canonical way. We examin...
International audienceLet k be a k-element set. We show that the lattice of all strong partial clone...
International audienceIn a recent paper, the authors show that the sublattice of partial clones that...
International audienceThe following natural problem, first considered by D. Lau, has been tackled by...
International audienceThe study of partial clones on 2 := {0, 1} was initiated by R. V. Freivald. In...
International audienceD. Lau raised the problem of determining the cardinality of the set of all par...
peer reviewedThe following result has been shown recently in the form of a dichotomy: For every to...
International audienceA strong partial clone is a set of partial operations closed under composition...
International audienceWe survey known results and present some new ones about intersections of maxim...
AbstractWe investigate interpolation and extrapolation properties of composition-closed sets of part...
AbstractCompleteness or primality for partial algebras on a finite universe A is defined in a way si...
All minimal clones containing a three-element grupoid have been determined in [3]. In this paper we ...
peer reviewedIn a recent paper, the authors show that the sublattice of partial clones that preserve...
Achieving a classification of all clones of operations over a finite set is one of the goals at the ...
Let A be a finite non-singleton set. For A ={0, 1} we show that the set of all self-dual monotonic p...
Abstract. To every locally closed clone, one can assign a larger clone in a canonical way. We examin...