About the finiteness of monoids generated by closures and interiors.
About varieties of weakly abelian -groups
Absolute flatness and amalgams in pomonoids.
Absolutely linear relations.
Absolutely linear relations (Short Communication).
Abstract Characterizations of Continuous Functions.
Abstract Characterizations of Continuous Functions. (Short Communication).
Additive closure operators on abelian unital -groups
In the paper an additive closure operator on an abelian unital -group is introduced and one studies the mutual relation of such operators and of additive closure ones on the -algebra .
Affine completeness and lexicographic product decompositions of abelian lattice ordered groups
In this paper it is proved that an abelian lattice ordered group which can be expressed as a nontrivial lexicographic product is never affine complete.
Affine completeness and wreath product decompositions of lattice ordered group
Let and be a nonzero abelian linearly ordered group or a nonzero abelian lattice ordered group, respectively. In this paper we prove that the wreath product of and fails to be affine complete.
Affine completeness of complete lattice ordered groups
Affine completness of projectable lattice ordered groups
Aggregation operators on partially ordered sets and their categorical foundations
In spite of increasing studies and investigations in the field of aggregation operators, there are two fundamental problems remaining unsolved: aggregation of -fuzzy set-theoretic notions and their justification. In order to solve these problems, we will formulate aggregation operators and their special types on partially ordered sets with universal bounds, and introduce their categories. Furthermore, we will show that there exists a strong connection between the category of aggregation operators...
Algebraic and categorical properties of -ideal systems.
Algebraic Classes of Abelian Torsion-Free and Lattice-Ordered Groups
Algebras and spaces of dense constancies
A DC-space (or space of dense constancies) is a Tychonoff space such that for each there is a family of open sets , the union of which is dense in , such that , restricted to each , is constant. A number of characterizations of DC-spaces are given, which lead to an algebraic generalization of the concept, which, in turn, permits analysis of DC-spaces in the language of archimedean -algebras. One is led naturally to the notion of an almost DC-space (in which the densely constant functions...
Algebras on subintervals of BL-algebras, pseudo BL-algebras and bounded residuated -monoids
Algebre di Łukasiewicz quasi-locali Stoneane
We prove some properties of quasi-local Ł-algebras. These properties allow us to give a structure theorem for Stonean quasi-local Ł-algebras. With this characterization we are able to exhibit an example which provides a negative answer to the first problem posed in [4].
All subvarieties of have finite bases of identities.
Almost finite-valued -groups