Errata to the paper M. Sekanina: Categories of ordered sets
Finite-to-finite universal varieties of distributive double -algebras
Homomorphisms of algebras
A construction of all homomorphisms of an algebra with a finite number of operations into an algebra of the same type is presented that consists in replacing algebras by suitable mono-unary algebras (possibly with some nullary operations) and their homomorphisms by suitable homomorphisms of the corresponding mono-unary algebras. Since a construction of all homomorphisms between two mono-unary algebras is known (see, e.g., [6], [7], [8]), a construction of all homomorphisms of an arbitrary algebra...
Homomorphisms of heterogeneous algebras
A construction of all homomorphisms of a heterogeneous algebra into an algebra of the same type is presented. A relational structure is assigned to any heterogeneous algebra, and homomorphisms between these relational structures make it possible to construct homomorphisms between heterogeneous algebras. Homomorphisms of relational structures can be constructed using homomorphisms of algebras that are described in [11].
Information systems in categories of valued relations.
The paper presents a categorical version of the notion of information system due to D. Scott. The notion of information system is determined in the framework of ordered categories with involution and division and the category of information systems is constructed. The essential role in all definitions and constructions play correlations between inclusion relations and entailment relations.
Injectives in arrow categories
Intuitionistic -fuzzy relations.
Liaisons entre les S-relations et les relations de ferrers. Représentations
Monomorphisms in the categories of connected algebraic systems with strong homomorphisms
Note on category of spaces of parallelism
On a mechanism of defining morphisms in concrete categories
On Categories of Relations
On clones of relations
On distributive homological algebra, I. RE-categories
On distributive homological algebra, II. Theories and models
On distributive homological algebra. III. Homological theories
On epics and dominions of bands.
On simply bireflective subcategories
On the structure of halfdiagonal-halfterminal-symmetric categories with diagonal inversions
The category of all binary relations between arbitrary sets turns out to be a certain symmetric monoidal category Rel with an additional structure characterized by a family of diagonal morphisms, a family of terminal morphisms, and a family of diagonal inversions having certain properties. Using this properties in [11] was given a system of axioms which characterizes the abstract concept of a halfdiagonal-halfterminal-symmetric monoidal category with diagonal inversions (hdht∇s-category)....
One More Categorical Model of Universal Algebra.