Results 1 to 10 of about 83 (61)
On n‐fold implicative filters of lattice implication algebras
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 11, Page 695-699, 2001., 2001 We introduce the notion of n‐fold implicative filters and n‐fold implicative lattice implication algebras. We give characterizations of n‐fold implicative filters and n‐fold implicative lattice implication algebras. Finally, we construct an extension property for n‐fold implicative filter.
Young Bae Jun
wiley +2 more sources
Discussiones Mathematicae - General Algebra and Applications, 2021 A classical result of R.P. Dilworth states that every finite distributive lattice D can be represented as the congruence lattice of a finite lattice L. A sharper form was published in G. Grätzer and E.T.
Grätzer G., Lakser H.
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n-Fold Fantastic and n-Fold Involutive Ideals in Bounded Commutative Residuated Lattices
Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, we introduce the concepts of n-fold obstinate ideals, n-fold normal ideals, n-fold fantastic ideals and n-fold involutive ideals in residuated lattices, state and prove some of their properties.
Yinga Fabrice Tchoua +2 more
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Rough sets based on fuzzy ideals in distributive lattices
Open Mathematics, 2020 In this paper, we present a rough set model based on fuzzy ideals of distributive lattices. In fact, we consider a distributive lattice as a universal set and we apply the concept of a fuzzy ideal for definitions of the lower and upper approximations in ...
Yang Yongwei, Zhu Kuanyun, Xin Xiaolong
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Applying the Czédli-Schmidt Sequences to Congruence Properties of Planar Semimodular Lattices
Discussiones Mathematicae - General Algebra and Applications, 2021 Following Grätzer and Knapp, 2009, a planar semimodular lattice L is rectangular, if the left boundary chain has exactly one doubly-irreducible element, cl, and the right boundary chain has exactly one doubly-irreducible element, cr, and these elements ...
Grätzer G.
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Prime preideals on bounded EQ-algebras
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 EQ-algebras were introduced by Novák in [14] as an algebraic structure of truth values for fuzzy type theory (FFT). In [1], Borzooei et. al. introduced the notion of preideal in bounded EQ-algebras.
Akhlaghinia N. +2 more
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NORMAL FILTERS AND PRIME FILTERS IN GENERALIZED ALMOST DISTRIBUTIVE FUZZY LATTICES
, 2020 In this article, the notion of normal filters and prime filters is presented and several properties of normal filters and prime filters are investigated.
S. Karpagavalli, T. Sangeetha
semanticscholar +1 more source
Stone Commutator Lattices and Baer Rings
Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, we transfer Davey‘s characterization for κ -Stone bounded distributive lattices to lattices with certain kinds of quotients, in particular to commutator lattices with certain properties, and obtain related results on prime, radical ...
Mureşan Claudia
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CONSTRUCTION OF NESTED REAL IDEAL LATTICES FOR INTERFERENCE CHANNEL CODING
International Journal of Apllied Mathematics, 2019 In this work we develop a new algebraic methodology which quantizes real-valued channels in order to realize interference alignment (IA) onto a real ideal lattice. Also we make use of the minimum mean square error (MMSE) criterion to estimate real-valued
C. Watanabe
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The Cayley Sum Graph of Ideals of a Lattice
Discussiones Mathematicae - General Algebra and Applications, 2020 Let L be a lattice, 𝒥(L) be the set of ideals of L and S be a subset of 𝒥 (L). In this paper, we introduce an undirected Cayley graph of L, denoted by ΓL,S with elements of 𝒥 (L) as the vertex set and, for two distinct vertices I and J, I is adjacent to ...
Afkhami Mojgan +2 more
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