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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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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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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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Implicative Closure Operators [PDF]
International Journal of Fuzzy Logic and Intelligent Systems, 2008 In this paper, we investigate the properties of implicative closure operators on the stsc-quantale L. We find implicative closure operators induced by a function.
Yong Chan Kim, Jung Mi Ko
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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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Closure operators on algebras [PDF]
International Journal of Algebra and Computation, 2015 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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Classes of algebras and closure operations [PDF]
Communications in Algebra, 2021 The calculus of classes and closure operations has proved to be a useful tool in group theory and has led to a deep theory in the study of finite soluble groups. More recently, parallel theories have started to be developed in various varieties of algebras, such as Lie, Leibniz, and Malcev algebras.
I. S. Gutierrez +2 more
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P-CLOSURE IN PSEUDO BCI-ALGEBRAS [PDF]
Journal of Algebraic Systems, 2020 In this paper, for any non-empty subset C of a pseudo BCI-algebra X, the concept of p-closure of C, denoted by C(pc), is introduced and some related properties are investigated.
H. Harizavi
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