Categories of locally diagonal partial algebras.
Cartesian closedness in categories of partial algebras.
Exponentiality in categories of partial algebras.
Exponentiation of relational systems with respect to strong homomorphisms.
A conglomerate of exponential supercategories of the category of finitely generated topological spaces.
A conglomerate of exponential supercategories of the category of finitely generated topological spaces. (Summary).
On a construct of closure spaces
Relations and topologies
Cardinal arithmetic of general relational systems
Representative properties of the quasi-ordered set
On the axioms preserved by modifications of topologies without axioms
On modifications of topologies without axioms
On relations
On strong regularity of relations
There exists a natural extension of the notion of preorder from binary relations onto relations whose arities are arbitrary ordinals. In the article we find a condition under which extended preorders coincide with preorders if viewed categorically.
On lattices of generalized topologies
A note on general relations
On the direct power of relational systems
On exponentiation on n-ary hyperalgebras
For n-ary hyperalgebras we study a binary operation of exponentiation which to a given pair of n-ary hyperalgebras assigns their power, i.e., an n-ary hyperalgebra carried by the corresponding set of homomorphisms. We give sufficient conditions for the existence of such a power and for a decent behaviour of the exponentiation. As a consequence of our investigations we discover a cartesian closed subcategory of the category of n-ary hyperalgebras and homomorphisms between them.
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