Results 21 to 30 of about 410 (263)
Evolution on distributive lattices [PDF]
22 pages, 4 figures; minor corrections, moved details to appendix.
Beerenwinkel, Niko +2 more
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Homology of distributive lattices [PDF]
We outline the theory of sets with distributive operations: multishelves and multispindles, with examples provided by semi-lattices, lattices and skew lattices. For every such a structure we define multi-term distributive homology and show some of its properties.
Przytycki, Józef H. +1 more
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Lifting Elements in Coherent Quantales [PDF]
An ideal I of a ring R is a lifting ideal if the idempotents of R can be lifted modulo I. A rich literature has been dedicated to lifting ideals. Recently, new algebraic and topological results on lifting ideals have been discovered.
George Georgescu
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Distributive Lattice Polyhedra
Abstract Poly-antimatroids are generalization of the notion of antimatroid to multisets. When the underlying set consists of only two elements, such two-dimensional poly-antimatroids correspond to point sets in the integer lattice Z d . In this research we concentrate on geometrical properties of two-dimensional poly-antimatroids and prove ...
Yulia Kempner, Vadim E. Levit
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On the Coset Category of a Skew Lattice
Skew lattices are noncommutative generalizations of lattices. The coset structure decomposition is an original approach to the study of these algebras describing the relation between its rectangular classes.
Costa João Pita
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Fuzzy Distributive Pairs in Fuzzy Lattices
We generalize the concept of a fuzzy distributive lattice by introducing the concepts of a fuzzy join-distributive pair and a fuzzy join-semidistributive pair in a fuzzy lattice.
Wasadikar Meenakshi, Khubchandani Payal
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Alan Day’s doubling construction of intervals has been found to affect some properties of the lattice of weak congruences of chains. Here, in this paper, we study how it affects the property of 0-distributivity of the lattice of weak congruences of ...
V Gladys Mano Amirtha, Premalatha D.
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μ-Fuzzy Filters in Distributive Lattices
In this paper, we introduce the concept of μ-fuzzy filters in distributive lattices. We study the special class of fuzzy filters called μ-fuzzy filters, which is isomorphic to the set of all fuzzy ideals of the lattice of coannihilators.
Wondwosen Zemene Norahun
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Disjunctive Ideals of Almost Distributive Lattices
The concept of disjunctive ideals is introduced in an Almost Distributive Lattice (ADL). It is proved that the set of all disjunctive ideals of an ADL forms a complete lattice.
Rafi N., Srujana M., Rao T. Srinivasa
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The rank of a distributive lattice
AbstractThe rank of a partial ordering P is the maximum size of an irredundant family of linear extensions of P whose intersection is P. A simple relationship is established between the rank of a finite distributive lattice and its subset of join irreducible elements.
I. Rabinovitch, I. Rival
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