-isomorphisms of distributive lattices
Weak bases in modular lattices
Weak Boolean products of bounded dually residuated -monoids
In the paper we deal with weak Boolean products of bounded dually residuated -monoids (DR-monoids). Since bounded DRl-monoids are a generalization of pseudo MV-algebras and pseudo BL-algebras, the results can be immediately applied to these algebras.
Weak chain-completeness and fixed point property for pseudo-ordered sets
In this paper the notion of weak chain-completeness is introduced for pseudo-ordered sets as an extension of the notion of chain-completeness of posets (see [3]) and it is shown that every isotone map of a weakly chain-complete pseudo-ordered set into itself has a least fixed point.
Weak congruences of an algebra with the CEP and the WCIP
Here we consider the weak congruence lattice of an algebra with the congruence extension property (the CEP for short) and the weak congruence intersection property (briefly the WCIP). In the first section we give necessary and sufficient conditions for the semimodularity of that lattice. In the second part we characterize algebras whose weak congruences form complemented lattices.
Weak direct factors of lattices
Weak homogeneity and Pierce’s theorem for -algebras
In this paper we prove a theorem on weak homogeneity of -algebras which generalizes a known result on weak homogeneity of Boolean algebras. Further, we consider a homogeneity condition for -algebras which is defined by means of an increasing cardinal property.
Weak homogeneity of lattice ordered groups
In this paper we deal with weakly homogeneous direct factors of lattice ordered groups. The main result concerns the case when the lattice ordered groups under consideration are archimedean, projectable and conditionally orthogonally complete.
Weak homomorphisms in implication algebra
Weak homomorphisms of distributive p-algebras
Weak incidence algebra and maximal ring of quotients.
Weak isometries and direct decompositions of dually residuated lattice ordered semigroups
Weak isometries in directed groups
Weak isometries in partially ordered groups.
Weak isometries of lattice ordered groups
Weak isomorphisms of abelian lattice ordered groups
Weak product decompositions of discrete lattices
Weak product decompositions of partially ordered sets
Weak pseudo-complementations on ADL’s
The notion of an Almost Distributive Lattice (abbreviated as ADL) was introduced by U. M. Swamy and G. C. Rao [6] as a common abstraction of several lattice theoretic and ring theoretic generalization of Boolean algebras and Boolean rings. In this paper, we introduce the concept of weak pseudo-complementation on ADL’s and discuss several properties of this.
Weak Riesz groups