Clones, coclones and coconnected spaces.
Clones in topology and algebra.
Clones on regular cardinals
We investigate the structure of the lattice of clones on an infinite set X. We first observe that ultrafilters naturally induce clones; this yields a simple proof of Rosenberg’s theorem: there are maximal (= “precomplete”) clones on a set of size λ. The clones we construct do not contain all unary functions. We then investigate clones that do contain all unary functions. Using a strong negative partition theorem from pcf theory we show that for cardinals λ (in particular, for all successors of...
Closed sets of universal Horn formulas for many-sorted (partial) algebras
Closure properties for relational systems with given endomorphism structure
Cogeneration and minimal realization (Preliminary communication)
Coherence and weak coherence in the square of algebras
Coherence implies congruence-regularity (a local version)
Coherence in dual discriminator varieties
Coherence in varieties of algebras
Combinatorial Structures in Loops.
Commutation of operations and its relationship with Menger and Mann superpositions
The article considers a problem from Trokhimenko paper [13] concerning the study of abstract properties of commutations of operations and their connection with the Menger and Mann superpositions. Namely, abstract characterizations of some classes of operation algebras, whose signature consists of arbitrary families of commutations of operations, Menger and Mann superpositions and their various connections are found. Some unsolved problems are given at the end of the article.
Commutative quasi-trivial superassociative systems
Commutative semigroups that are simple over thein endomorphism semirings
Commutative semigroups whose lattice of tolerances is Boolean
Commutative semigroups with almost transitive endomorphism semirings
Commutative semigroups with few fully invariant congruences II.
Commutative semigroups with few fully invariant congruences I.
Commutative zeropotent semigroups with few invariant congruences
Commutative semigroups satisfying the equation and having only two -invariant congruences for an automorphism group are considered. Some classes of these semigroups are characterized and some other examples are constructed.
Commutativity of Operators on the Lattice of Existence Varieties.