Free objects in the variety generated by rings and distributive lattices

1983 ◽  
pp. 255-260
Author(s):  
Hans-J. Bandelt
Keyword(s):  
Distributive Lattices ◽  
Free Objects

Free Objects in the Category of Completely Distributive Lattices

2020 ◽  
pp. 129-150
Author(s):  
Karl H. Hofmann ◽  
Michael Mislove
Keyword(s):  
Distributive Lattices ◽  
Free Objects ◽  
Completely Distributive

Free Objects and Free Extensions in the Category of Frames

2015 ◽  
Vol 65 (2) ◽  
Author(s):  
Constantine Tsinakis
Keyword(s):  
Distributive Lattices ◽  
Free Objects ◽  
Subdirect Products

AbstractThis article considers free objects and free extensions over posets in the category of frames. Its primary goal is to present novel representations for these objects as subdirect products of certain chains. Constructions for the corresponding objects in the category of bounded distributive lattices are also presented.

L-Fuzzy Filters of Almost Distributive Lattices

2018 ◽  
Vol 8 (1) ◽  
pp. 35
Author(s):  
U. M. Swamy ◽  
Ch. Santhi Sundar Raj ◽  
A. Natnael Teshale
Keyword(s):  
Distributive Lattices ◽  
Fuzzy Filters

Prime O-Ideals of Distributive Lattices

2012 ◽  
Vol 2 (1) ◽  
pp. 1
Author(s):  
Mukkamala Sambasiva Rao
Keyword(s):  
Distributive Lattices

ON n-MIXED PRODÜCT OF PSEUDOCOMPLEMENTED DISTRIBUTIVE LATTICES

1986 ◽  
Vol 19 (2) ◽  
Author(s):  
Lidia Sobolska
Keyword(s):  
Distributive Lattices ◽  
Mixed Product

scholarly journals Priestley duality for MV-algebras and beyond

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Wesley Fussner ◽  
Mai Gehrke ◽  
Samuel J. van Gool ◽  
Vincenzo Marra
Keyword(s):  
Large Class ◽  
Order Conditions ◽  
Enriched Environment ◽  
Priestley Duality ◽  
Distributive Lattices ◽  
First Order ◽  
Dual Spaces ◽  
Binary Operations ◽  
New Perspective ◽  
Mv Algebras

Abstract We provide a new perspective on extended Priestley duality for a large class of distributive lattices equipped with binary double quasioperators. Under this approach, non-lattice binary operations are each presented as a pair of partial binary operations on dual spaces. In this enriched environment, equational conditions on the algebraic side of the duality may more often be rendered as first-order conditions on dual spaces. In particular, we specialize our general results to the variety of MV-algebras, obtaining a duality for these in which the equations axiomatizing MV-algebras are dualized as first-order conditions.

scholarly journals The Central Decomposition of FD01(n)

Order ◽  
2021 ◽  
Author(s):  
Peter Köhler
Keyword(s):  
Distributive Lattices ◽  
Finitely Generated ◽  
Finite Distributive Lattices

AbstractThe paper presents a method of composing finite distributive lattices from smaller pieces and applies this to construct the finitely generated free distributive lattices from appropriate Boolean parts.

Congruence relations on almost distributive lattices-II

2019 ◽  
pp. 2150005
Author(s):  
Gezahagne Mulat Addis
Keyword(s):  
Distributive Lattice ◽  
Congruence Relation ◽  
Congruence Class ◽  
Distributive Lattices ◽  
Ideal Formula ◽  
Congruence Relations

For a given ideal [Formula: see text] of an almost distributive lattice [Formula: see text], we study the smallest and the largest congruence relation on [Formula: see text] having [Formula: see text] as a congruence class.

scholarly journals Eigenvalues and eigenvectors for matrices over distributive lattices

1998 ◽  
Vol 283 (1-3) ◽  
pp. 257-272 ◽  
Author(s):  
Yi-Jia Tan
Keyword(s):  
Distributive Lattices ◽  
Eigenvalues And Eigenvectors

Implicational Classes of Pseudocomplemented Distributive Lattices

1976 ◽  
Vol s2-13 (2) ◽  
pp. 381-384 ◽  
Author(s):  
M. E. Adams
Keyword(s):  
Distributive Lattices
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