Results 1 to 10 of about 23,272 (312)
Neutrosophic θ−Closure Operator [PDF]
Neutrosophic Sets and Systems, 2023 The fundamental intent of this article is to develop the idea of neutrosophic θ-cluster point, neutrosophic θ-closure operator, neutrosophic θq-neibourhood in neutrosophic topological spaces.
Md. Hanif Page +2 more
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Closure operators on algebras [PDF]
International Journal of Algebra and Computation, 2013 We study connections between closure operators on an algebra (A, Ω) and congruences on the extended power algebra defined on the same algebra. We use these connections to give an alternative description of the lattice of all subvarieties of semilattice ordered algebras.
Agata Pilitowska, Anna Zamojska-Dzienio
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Известия Иркутского государственного университета: Серия "Математика", 2019 Multioperations are operations from a finite set A to set of all subsets of A. The usual composition operator leads to a continuum of closed sets. Therefore, the research of closure operators, which contain composition and other operations becomes ...
V.I. Panteleev, L. Riabets
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Applications of operations on generalized topological spaces [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper γµ -open sets and γµ -closed sets in a GTS (X, µ) have been studied, where γµ is an operation from µ to P(X). In general, collection of γµ -open sets is smaller than the collection of µ-open sets. The condition under which both are
B. Roy, T. Noiri
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On general closure operators and quasi factorization structures [PDF]
Categories and General Algebraic Structures with Applications, 2021 In this article the notions of quasi mono (epi) as a generalization of mono (epi), (quasi weakly hereditary) general closure operator $\mathbf{C}$ on a category $\mathcal{X}$ with respect to a class $\mathcal{M}$ of morphisms, and quasi factorization ...
Seyed Shahin Mousavi Mirkalai +2 more
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A new class between theta open sets and theta omega open sets
Heliyon, 2021 We define θN-closure operator as a new topological operator which lies between the θ-closure and the θω-closure. Some relationships between this new operator and each of θ-closure, θω-closure, and usual closure are obtained.
Samer Al Ghour, Souad Al-Zoubi
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δω-Continuity and some Results on δω-Closure Operator
Journal of Mathematics, 2022 Al-Jarrah et al. defined a new topological operator, namely, δω-closure operator, and proved that it lies between the δ-closure operator and the usual closure operator. Al-Ghour et al. defined θω-closure operator and discussed its properties.
Manjeet Singh, Asha Gupta, Kushal Singh
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Closure System and Its Semantics
Axioms, 2021 It is well known that topological spaces are axiomatically characterized by the topological closure operator satisfying the Kuratowski Closure Axioms. Equivalently, they can be axiomatized by other set operators encoding primitive semantics of topology ...
Yinbin Lei, Jun Zhang
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Journal of the Australian Mathematical Society, 1975 A mapping κ: P(X) → P(X) is a quasi-closure operator (see Thron (1966) page 44) if (i) □κ = □, and for all A, B ∈ P(X) we have (ii) A ⊆ Aκ, and (iii) (A ⋓ B)κ = Aκ ∪ Bκ one easily deduces that such operators have the further property: (iv) if A ⊆ B ⊆ X, then Aκ if κ also satisfies: (v) Aκ2 ⊆ Aκ for all A ⊆ X, then κ is called a Kuratowski closure ...
Collyer, P. J., Sullivan, R. P.
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FUZZY G-CLOSURE OPERATORS [PDF]
Communications of the Korean Mathematical Society, 2003 Summary: We introduce a fuzzy g-closure operator induced by a fuzzy topological space in view of the definition of \textit{A.P.Šostak} [Rend. Circ. Mat. Palermo, II. Ser. Suppl. 11, 89-103 (1985; Zbl 0638.45007)]. We show that it is a fuzzy closure operator. Furthermore, it induces a fuzzy topology which is finer than a given fuzzy topology.
Kim, Yong Chan, Ko, Jung Mi
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