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Distributive Projective Lattices [PDF]
Canadian Journal of Mathematics, 1970 Two basic unsolved problems of lattice theory are (1) the characterization of sublattices of free lattices and (2) the characterization of projective lattices. A solution to an important case of the first problem has been provided by Galvin and Jónsson [3], who characterize distributive sublattices of free lattices.
Baker, K. A., Hales, A. W.
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Postulates For Distributive Lattices [PDF]
Canadian Journal of Mathematics, 1951 Many sets of postulates have been given for distributive lattices and for Boolean algebra. For a description of some of the most interesting and for references to others the reader is referred to Birkhoff's “Lattice Theory”[1].
Marlow Sholander
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Studia Logica, 1996
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Roberto Cignoli
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Roberto Cignoli
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Bounded Distributive Lattices with Two Subordinations [PDF]
Logic, Epistemology, and the Unity of Science, 2021 In this paper we consider the notion of subordination on distributive lattices, equivalent to that of quasi-modal operator for distributive lattices introduced by Castro and Celani in 2004.
Sérgio A Celani +2 more
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Distributivity of a segmentation lattice
Discrete Applied Mathematics, 2023In this interesting paper, finite closure spaces with closed singletons are studied on the level of segmentations, meaning, partitions of the space into closed subsets. These spaces are direct generalizations of topological T1-spaces. The segmentations themselves form a lattice. The authors study such spaces for which this lattice is distributive.
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Logic Journal of IGPL, 2007
The purpose of this paper is to investigate the variety of algebras, which we call monadic distributive lattices, as a natural generalization of monadic Heyting algebras [16]. It is worth mentioning that the latter is a proper subvariety of the first one, as it is shown in a simple example.
Aldo V. Figallo +2 more
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The purpose of this paper is to investigate the variety of algebras, which we call monadic distributive lattices, as a natural generalization of monadic Heyting algebras [16]. It is worth mentioning that the latter is a proper subvariety of the first one, as it is shown in a simple example.
Aldo V. Figallo +2 more
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Valuations on Distributive Lattices II
Archiv der Mathematik, 1973In Parts I and II [Arch. Math. 24, 230–239, 337–345 (1973)] we were principally interested in combinatorial applications of the valuation ring of a distributive lattice. We now show how this ring provides a natural setting for some elementary results in measure theory as well as some classical results on representations of distributive lattices ...
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Distributive lattices with an operator
Studia Logica, 1996A \(j\)-distributive lattice is an algebra \((L, \vee, \wedge,j, 0, 1)\) such that \((L, \vee, \wedge, 0, 1)\) is a bounded distributive lattice and \(j : L \to L\) is a join-homomorphism. Congruences of \(j\)-distributive lattices are described in terms of corresponding dual spaces, and simple and subdirectly irreducible algebras are characterized for
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Distributive PBZ$$^{*}$$-lattices
Studia LogicazbMATH Open Web Interface contents unavailable due to conflicting licenses.
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