Results 61 to 70 of about 139,433 (116)

Double Approximation and Complete Lattices

Fundamenta Informaticae, 2009
We explore lattice theoretic aspects in rough set theory in terms of the duality between algebra and representation. Approximation spaces are dual to complete atomic Boolean algebras in the sense that there is an adjunction between corresponding suitable categories.
Haruna, Taichi, Gunji, Yukio-Pegio
openaire   +2 more sources

Approximation operators on complete completely distributive lattices

Information Sciences, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qin, Keyun, Pei, Zheng, Yang, Jilin, Xu, Yang   +3 more
openaire   +2 more sources

Algebraically complete lattices

Algebra Universalis, 1983
It is proved that the existentially closed lattices do not form an elementary class and therefore the class of all lattices has no model companion. It is also remarked that there are locally finite finitely generic lattices.
openaire   +2 more sources

Completely decomposable lattices

Siberian Mathematical Journal, 1970
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Precoherent quantale completions of partially ordered semigroups

Semigroup Forum, 2020
Bin Zhao, Changchun Xia
semanticscholar   +2 more sources

The Complete Congruence Lattice of a Complete Lattice

1990
G. Birkhoff [1] raised the following question in 1945: Is every complete lattice isomorphic to the lattice of congruence relations of a suitable (infinitary) algebra? In 1948, Birkhoff restated this question in the Second Edition of his Lattice Theory [2]; however, “(infinitary)” was dropped from the question. This was intentional; G. Birkhoff referred
openaire   +1 more source

κ-Complete Uniquely Complemented Lattices

Order, 2008
Let UC stand for `uniquely complemented'. The question ``is every complete UC lattice distributive?'' is still open in lattice theory. Related to it is the main theorem of the paper, which states that, for \(\kappa\) an infinite cardinal, every complete at most UC lattice can be regularly embedded into a \(\kappa\)-complete UC-lattice.
openaire   +1 more source

Crawley Completions of Residuated Lattices and Algebraic Completeness of Substructural Predicate Logics

Studia Logica: An International Journal for Symbolic Logic, 2012
H. Ono
semanticscholar   +2 more sources

Completions of orthomodular lattices II

Order, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Isotone extensions and complete lattices

Ukrainian Mathematical Bulletin, 2019
The set of necessary and sufficient conditions under which an isotone mapping from a subset of a poset X to a poset Y has an isotone extension to an isotone mapping from X to Y is found.
openaire   +2 more sources