Characterizing ordered semigroups by means of intuitionistic fuzzy bi-ideals.
Circular totally semi-ordered groups
Classes of filters in generalizations of commutative fuzzy structures
Bounded commutative residuated lattice ordered monoids (-monoids) are a common generalization of -algebras and Heyting algebras, i.e. algebras of basic fuzzy logic and intuitionistic logic, respectively. In the paper we develop the theory of filters of bounded commutative -monoids.
Classes of fuzzy filters of residuated lattice ordered monoids
The logical foundations of processes handling uncertainty in information use some classes of algebras as algebraic semantics. Bounded residuated lattice ordered monoids (monoids) are common generalizations of -algebras, i.e., algebras of the propositional basic fuzzy logic, and Heyting algebras, i.e., algebras of the propositional intuitionistic logic. From the point of view of uncertain information, sets of provable formulas in inference systems could be described by fuzzy filters of the corresponding...
Closed and open sets in topologies induced by lattice ordered vector groups
Closed convex -subgroups and radical classes of convergence -groups
In this paper we prove that the system of all closed convex -subgroups of a convergence -group is a Brouwer lattice and that a similar result is valid for radical classes of convergence -groups.
Closure operators on radical classes of lattice-ordered groups
Closure operators on the lattice of radical classes of lattice ordered groups
Combinatorial fans, lattice-ordered groups, and their neighbours: A short excursion.
Commutative idempotent residuated lattices
We investigate the variety of residuated lattices with a commutative and idempotent monoid reduct.
Commutative pseudo valuations on BCK-algebras.
Companion -algebras
Compatible elements in partly ordered groups.
Compatible partial orderings in Boolean algebras
Complete distributivity and -convergence
Complete distributivity of lattice ordered groups and of vector lattices
In this paper we investigate the possibility of a regular embedding of a lattice ordered group into a completely distributive vector lattice.
Complete permutability of partitions in a set. I
Complete retract mappings of a complete lattice ordered group
Completely meet-irreducible tolerances in distributive Noetherian lattices
Completely subdirect products of directed sets
This paper deals with directly indecomposable direct factors of a directed set.