Distributive associative near lattices
Distributive lattices have the intersection property
Distributive lattices form an important, well-behaved class of lattices. They are instances of two larger classes of lattices: congruence-uniform and semidistributive lattices. Congruence-uniform lattices allow for a remarkable second order of their elements: the core label order; semidistributive lattices naturally possess an associated flag simplicial complex: the canonical join complex. In this article we present a characterization of finite distributive lattices in terms of the core label order...
Distributive lattices whose congruence lattice is Stone.
Distributive lattices with a given skeleton
We present a construction of finite distributive lattices with a given skeleton. In the case of an H-irreducible skeleton K the construction provides all finite distributive lattices based on K, in particular the minimal one.
Distributive lattices with an additional unary operation.
Distributive lattices with an additional unary operation. (Short Communication).
Distributive multisemilattices [Book]
Distributive ordered sets and relative pseudocomplements
Brouwerian ordered sets generalize Brouwerian lattices. The aim of this paper is to characterize (α)-complete Brouwerian ordered sets in a manner similar to that used previously for pseudocomplemented, Stone, Boolean and distributive ordered sets. The sublattice (G(P)) in the Dedekind-Mac~Neille completion (DM(P)) of an ordered set (P) generated by (P) is said to be the characteristic lattice of (P). We can define a stronger notion of Brouwerianicity by demanding that both (P) and (G(P)) be Brouwerian....
Distributive pairs in biatomic lattices.
Distributive partially ordered sets
Distributive properties in semi-modular lattices.
Distributive, standard and neutral elements in trellises.
Distributività rispetto all'unione e residuazione nei gruppoidi con ordine
Distributivität des -Untergruppenverbandes einer Verbandsgruppe
Distributivity and wellfounded semilattices.
Distributivity in finitely generated orthomodular lattices
Distributivity in lattice ordered groups
Distributivity of bounded lattices with sectionally antitone involutions
We present a simple condition under which a bounded lattice L with sectionally antitone involutions becomes an MV-algebra. In thiscase, L is distributive. However, we get a criterion characterizingdistributivity of L in terms of antitone involutions only.
Distributivity of intervals of torsion radicals
Distributivity of strong implications over conjunctive and disjunctive uninorms
This paper deals with implications defined from disjunctive uninorms by the expression where is a strong negation. The main goal is to solve the functional equation derived from the distributivity condition of these implications over conjunctive and disjunctive uninorms. Special cases are considered when the conjunctive and disjunctive uninorm are a -norm or a -conorm respectively. The obtained results show a lot of new solutions generalyzing those obtained in previous works when the implications...