Weak subalgebra lattices
Weak -distributivity of lattice ordered groups
In this paper we prove that the collection of all weakly distributive lattice ordered groups is a radical class and that it fails to be a torsion class.
Weakly associative lattice rings
Weakly associative lattices and tolerance relations
Weakly atomic lattices with Stonean congruence lattice
Weakly monadic Boolean extension functors
Weakly prime and prime fuzzy ideals in ordered semigroups.
Weakly projectable and projectable W-algebras.
In this paper we introduce and study the weakly projectable and projectable W-algebras and we review the Representation Theorem of [1].
Weakly regular lattices
Weakly self-injective semilattices.
Weil nearness spaces.
Weil uniformities for frames
In pointfree topology, the notion of uniformity in the form of a system of covers was introduced by J. Isbell in [11], and later developed by A. Pultr in [14] and [15]. Another equivalent notion of locale uniformity was given by P. Fletcher and W. Hunsaker in [6], which they called “entourage uniformity”. The purpose of this paper is to formulate and investigate an alternative definition of entourage uniformity which is more likely to the Weil pointed entourage uniformity, since it is expressed...
Well-posed minimum problems for preorders
Well-quasi-ordering Aronszajn lines
We show that, assuming PFA, the class of all Aronszajn lines is well-quasi-ordered by embeddability.
When a line graph associated to annihilating-ideal graph of a lattice is planar or projective
Let be a finite lattice with a least element 0. is an annihilating-ideal graph of in which the vertex set is the set of all nontrivial ideals of , and two distinct vertices and are adjacent if and only if . We completely characterize all finite lattices whose line graph associated to an annihilating-ideal graph, denoted by , is a planar or projective graph.
When a partial Borel order is linearizable
When does an AB5* module have finite hollow dimension?
Using a lattice-theoretical approach we find characterizations of modules with finite uniform dimension and of modules with finite hollow dimension.
When doL-fuzzy ideals of a ring generate a distributive lattice?
The notion of L-fuzzy extended ideals is introduced in a Boolean ring, and their essential properties are investigated. We also build the relation between an L-fuzzy ideal and the class of its L-fuzzy extended ideals. By defining an operator “⇝” between two arbitrary L-fuzzy ideals in terms of L-fuzzy extended ideals, the result that “the family of all L-fuzzy ideals in a Boolean ring is a complete Heyting algebra” is immediately obtained. Furthermore, the lattice structures of L-fuzzy extended...
When is a poset isomorphic to the poset of connected induced subgraphs of a graph?
When is a total ordering of a semigroup a well-ordering?.