Abstract Characterizations of Continuous Functions.
Abstract Characterizations of Continuous Functions. (Short Communication).
Acyclic sets in -majority tournaments.
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 .
Adjoint Semilattice and Minimal Brouwerian Extensions of a Hilbert Algebra
Let be a Hilbert algebra. The monoid of all unary operations on generated by operations , which is actually an upper semilattice w.r.t. the pointwise ordering, is called the adjoint semilattice of . This semilattice is isomorphic to the semilattice of finitely generated filters of , it is subtractive (i.e., dually implicative), and its ideal lattice is isomorphic to the filter lattice of . Moreover, the order dual of the adjoint semilattice is a minimal Brouwerian extension of , and the...
Affine complete algebras abstracting Kleene and Stone algebras.
Affine complete algebras generalizing Kleene and Stone algebras.
Affine Complete Semilattices.
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 completeness of de Morgan algebras
Affine completness of projectable lattice ordered groups
Affine permutations of type .
Aggregation for Quality Management
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...
Algebra of observables and quantum logic
Algebraic and categorical properties of -ideal systems.
Algebraic and graph-theoretic properties of infinite -posets
A -labeled -poset is an (at most) countable set, labeled in the set , equipped with partial orders. The collection of all -labeled -posets is naturally equipped with binary product operations and -ary product operations. Moreover, the -ary product operations give rise to
Algebraic and graph-theoretic properties of infinite n-posets
A Σ-labeled n-poset is an (at most) countable set, labeled in the set Σ, equipped with n partial orders. The collection of all Σ-labeled n-posets is naturally equipped with n binary product operations and nω-ary product operations. Moreover, the ω-ary product operations give rise to nω-power operations. We show that those Σ-labeled n-posets that can be generated from the singletons by the binary and ω-ary product operations form the free algebra on Σ in a variety axiomatizable by an infinite collection...