Results 1 to 10 of about 769 (267)
INTRINSIC IDEALS OF DISTRIBUTIVE LATTICES [PDF]
Journal of Algebraic Systems, 2023 The concepts of intrinsic ideals and inlets are introduced in a distributive lattice. Intrinsic ideals are also characterized with the help of inlets.
SAMBASIVA RAO MUKKAMALA
doaj +1 more source
Meet-distributive lattices have the intersection property [PDF]
Mathematica Bohemica, 2023 This paper is an erratum of H. Mühle: Distributive lattices have the intersection property, Math. Bohem. (2021). Meet-distributive lattices form an intriguing class of lattices, because they are precisely the lattices obtainable from a closure operator ...
Henri Mühle
doaj +1 more source
Rough Approximation Operators on a Complete Orthomodular Lattice
Axioms, 2021 This paper studies rough approximation via join and meet on a complete orthomodular lattice. Different from Boolean algebra, the distributive law of join over meet does not hold in orthomodular lattices. Some properties of rough approximation rely on the
Songsong Dai
doaj +1 more source
Remarks on Sugeno Integrals on Bounded Lattices
Mathematics, 2022 A discrete Sugeno integral on a bounded distributive lattice L is defined as an idempotent weighted lattice polynomial. Another possibility for axiomatization of Sugeno integrals is to consider compatible aggregation functions, uniquely extending the L ...
Radomír Halaš +2 more
doaj +1 more source
On the distributivity of the lattice of radical submodules [PDF]
Journal of Mahani Mathematical Research, 2023 Let $R$ be a commutative ring with identity and $\mathcal{R}(_{R}M)$ denotes the bounded lattice of radical submodules of an $R$-module $M$. We say that $M$ is a radical distributive module, if $\mathcal{R}(_{R}M)$ is a distributive lattice.
Hossein Fazaeli Moghimi +1 more
doaj +1 more source
On the Number of Distributive Lattices [PDF]
The Electronic Journal of Combinatorics, 2002 We investigate the numbers $d_k$ of all (isomorphism classes of) distributive lattices with $k$ elements, or, equivalently, of (unlabeled) posets with $k$ antichains. Closely related and useful for combinatorial identities and inequalities are the numbers $v_k$ of vertically indecomposable distributive lattices of size $k$.
Marcel Erné +2 more
openaire +2 more sources
Fuzzy Initial and Final Segments in ADL’s
International Journal of Analysis and Applications, 2023 In this paper, we define the concepts of fuzzy initial and final segments in an Almost Distributive Lattice (ADL) and certain properties of these are discussed. It is proved that the set of fuzzy initial segments forms a complete lattice and that the set
G. Srikanya +3 more
doaj +1 more source
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
doaj +1 more source
SOME PROPERTIES ON DERIVATIONS OF LATTICES [PDF]
Journal of Algebraic Systems, 2021 In this paper we consider some properties of derivations of lattices and show that (i) for a derivation $d$ of a lattice $L$ with the maximum element $1$, it is monotone if and only if $d(x) \le d(1)$ for all $x\in L$ (ii) a monotone derivation $d$ is ...
Mayuka Kawaguchi, Michiro KONDO
doaj +1 more source
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
doaj +1 more source