Congruences associated with inverse transversals.
Congruences generated by filters
Congruences In Regular Categories.
Congruences of pseudocomplemented algebras
Congruences on an inverse Bruck-Reilly monoid. Part I: Non-group congruences.
Congruences on bands of π-groups
A semigroup S is said to be completely π-regular if for any a ∈ S there exists a positive integer n such that aⁿ is completely regular. The present paper is devoted to the study of completely regular semigroup congruences on bands of π-groups.
Congruences on Bruck-Reilly extensions of monoids.
Congruences on products in varieties satisfying the CEP
Congruences on semilattices with section antitone involutions
We deal with congruences on semilattices with section antitone involution which rise e.g., as implication reducts of Boolean algebras, MV-algebras or basic algebras and which are included among implication algebras, orthoimplication algebras etc. We characterize congruences by their kernels which coincide with semilattice filters satisfying certain natural conditions. We prove that these algebras are congruence distributive and 3-permutable.
Congruences on the subclones of the rank 3 Burle clone containing no creative functions.
Conjugated algebras
We generalize the correspondence between basic algebras and lattices with section antitone involutions to a more general case where no lattice properties are assumed. These algebras are called conjugated if this correspondence is one-to-one. We get conditions for the conjugary of such algebras and introduce the induced relation. Necessary and sufficient conditions are given to indicated when the induced relation is a quasiorder which has “nice properties", e.g. the unary operations are antitone...
Construction of all homomorphisms of groupoids
Construction of all homomorphisms of mono--ary algebras
Construction of all strong homomorphisms of binary structures
Constructions of (2,n)-varieties of groupoids for n = 7, 8, 9
Constructions of cell algebras
A construction of cell algebras is introduced and some of their properties are investigated. A particular case of this construction for lattices of nets is considered.
Constructions of color schemes
Contextual grammars vs. context-free algebras
Controllable and tolerable generalized eigenvectors of interval max-plus matrices
By max-plus algebra we mean the set of reals equipped with the operations and for A vector is said to be a generalized eigenvector of max-plus matrices if for some . The investigation of properties of generalized eigenvectors is important for the applications. The values of vector or matrix inputs in practice are usually not exact numbers and they can be rather considered as values in some intervals. In this paper the properties of matrices and vectors with inexact (interval) entries...
Convex automorphisms of partial monounary algebras