Results 11 to 20 of about 743,469 (374)
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
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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
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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
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Minimal representations of a finite distributive lattice by principal congruences of a lattice [PDF]
Acta Scientarum Mathematicarum, 2019 Let the finite distributive lattice D be isomorphic to the congruence lattice of a finite lattice L . Let Q denote those elements of D that correspond to principal congruences under this isomorphism.
G. Grätzer, H. Lakser
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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
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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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“Complete-simple” distributive lattices [PDF]
Proceedings of the American Mathematical Society, 1993 It is well known that the only simple distributive lattice is the two-element chain. We can generalize the concept of a simple lattice to complete lattices as follows: a complete lattice is complete-simple if it has only the two trivial complete congruences. In this paper we show the existence of infinite complete-simple distributive lattices.
Grätzer, G., Schmidt, E. T.
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L-Fuzzy Prime Spectrums of ADLs
Advances in Fuzzy Systems, 2021 The notion of an Almost Distributive Lattice (ADL) is a common abstraction of several lattice theoretic and ring theoretic generalizations of Boolean algebra and Boolean rings.
Natnael Teshale Amare +2 more
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A Class of Congruencies on Distributive Semilattice
Revista de Investigaciones Universidad del Quindío, 2022 In this paper we, contribute the notation of natural epimorphism of a semilattice on the quotient semilattice and subsemilattice. If S is distributive semilattice and F is a filter of S, then we demonstrate that θF is the smallest congruence on S ...
Tolesa Dekeba Bekele, Tesfu Reta
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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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