ℵ 0 -Categorical Distributive Lattices of Finite Breadth

1983 ◽  
Vol 87 (4) ◽  
pp. 707
Author(s):  
James H. Schmerl



1970 ◽  
Vol 34 (2) ◽  
pp. 311-320 ◽  
Author(s):  
Kirby Baker ◽  
Albert Stralka


Author(s):  
U. M. Swamy ◽  
Ch. Santhi Sundar Raj ◽  
A. Natnael Teshale


Author(s):  
Mukkamala Sambasiva Rao




2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Wesley Fussner ◽  
Mai Gehrke ◽  
Samuel J. van Gool ◽  
Vincenzo Marra

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.



Order ◽  
2021 ◽  
Author(s):  
Peter Köhler

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.



Author(s):  
Gezahagne Mulat Addis

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.







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