Results 31 to 40 of about 2,215 (299)
Lifting Elements in Coherent Quantales [PDF]
Transactions on Fuzzy Sets and Systems, 2022 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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The rank of a distributive lattice
Discrete Mathematics, 1979 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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Generalized Almost Distributive Fuzzy Lattices [PDF]
, 2017 In this paper we introduce the concept of a Generalized almost distributive fuzzy lattices (GADFLs) as a generalization of an Almost distributive fuzzy lattices(ADFLs). Again, we also show that a necessary and sufficient conditions for a GADFLs to become
Alaba, Berhanu Assaye; Department of Mathematics, College of Science, Bahir Dar University +1 more
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On the Coset Category of a Skew Lattice
Demonstratio Mathematica, 2014 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
Discussiones Mathematicae - General Algebra and Applications, 2022 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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Distributive Lattice Polyhedra
Electronic Notes in Discrete Mathematics, 2009 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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$\mathcal Z$-distributive function lattices [PDF]
, 2013 summary:It is known that for a nonempty topological space $X$ and a nonsingleton complete lattice $Y$ endowed with the Scott topology, the partially ordered set $[X,Y]$ of all continuous functions from $X$ into $Y$ is a continuous lattice if and only if ...
Erné, Marcel
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μ-Fuzzy Filters in Distributive Lattices
Advances in Fuzzy Systems, 2020 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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Ratio Mathematica, 2022 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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Coalgebraic representations of distributive lattices with operators [PDF]
, 2007 We present a framework for extending Stone's representation theorem for distributive lattices to representation theorems for distributive lattices with operators. We proceed by introducing the definition of algebraic theory of operators over distributive
Bonsangue, M.M. +6 more
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