Results 11 to 20 of about 372 (223)
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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Almost distributive lattices [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1981 AbstractThe concept of ‘Almost Distributive Lattices’ (ADL) is introduced. This class of ADLs includes almost all the existing ring theoretic generalisations of a Boolean ring (algebra) like regular rings, P-rings, biregular rings, associate rings, P1-rings, triple systems, etc. This class also includes the class of Baer-Stone semigroups.
Swamy, U. Maddana, Rao, G. C.
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Representation of ABA’s by Sections of Sheaves
International Journal of Analysis and Applications, 2023 An Almost Boolean Algebra (A, ∧, ∨, 0) (abbreviated as ABA) is an Almost Distributive Lattice (ADL) with a maximal element in which for any x∈A, there exists y∈A such that x∧y = 0 and x∨y is a maximal element in A.
R. Chudamani +3 more
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Characterization of Almost Semi-Heyting Algebra
Discussiones Mathematicae - General Algebra and Applications, 2020 In this paper, we initiate the discourse on the properties that hold in an almost semi-Heyting algebra but not in an semi-Heyting almost distributive lattice.
Srikanth V.V.V.S.S.P.S. +2 more
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Fuzzy Spectral Spaces and Fuzzy Congruences of a Heyting ADL
Journal of Mathematics, 2023 In this paper, the space Fp of fuzzy prime ideals of Heyting almost distributive lattice H is studied, and it is shown that the collection of all sets Mη is a topology on Fp, where η is a fuzzy ideal on H and Mη=θ∈Fp|η⊈θ.
Yeshiwas Mebrat Gubena +1 more
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𝒩 -Prime Spectrum of Stone Almost Distributive Lattices
Discussiones Mathematicae - General Algebra and Applications, 2021 Introduced the notions of annulets and 𝒩 -filters in stone Almost Distributive Lattices and investigated their properties. Utilized annulets to characterize the 𝒩 -filters.
Rafi N., Bandaru Ravi Kumar, Srujana M.
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Formalization of Generalized Almost Distributive Lattices [PDF]
Formalized Mathematics, 2014 Summary Almost Distributive Lattices (ADL) are structures defined by Swamy and Rao [14] as a common abstraction of some generalizations of the Boolean algebra. In our paper, we deal with a certain further generalization of ADLs, namely the Generalized Almost Distributive Lattices (GADL). Our main aim was to give the formal counterpart
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Some remarks on certain classes of semilattices
International Journal of Mathematics and Mathematical Sciences, 1982 In this paper the concept of a ∗-semilattice is introduced as a generalization to distributive ∗-lattice first introduced by Speed [1]. It is shown that almost all the results of Speed can be extended to a more eneral class of distributive ∗-semilattices.
P. V. Ramana Murty, M. Krishna Murty
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A topological characterization of an almost Boolean algebra
Extracta MathematicaeFor any Boolean space X and a discrete almost distributive lattice D, it is proved that the set C(X, D) of all continuous mappings of X into D, when D is equipped with the discrete topology, is an almost Boolean algebra under pointwise operations ...
K. Ramanuja Rao +3 more
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Advanced Engineering Materials, Volume 27, Issue 6, March 2025.The stability criteria affecting the formation of high‐entropy alloys, particularly focusing in supersaturated solid solutions produced by mechanical alloying, are analyzed. Criteria based on Hume–Rothery rules are distinguished from those derived from thermodynamic relations. The formers are generally applicable to mechanically alloyed samples.
Javier S. Blázquez +5 more
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