Results 41 to 50 of about 16,063 (299)
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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Axioms, 2020 Various types of topological and closure operators are significantly used in fuzzy theory and applications. Although they are different operators, in some cases it is possible to transform an operator of one type into another.
Jiří Močkoř
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Remarks on Interiors and Closures of Weak Open Sets in Bigeneralized Topological Spaces
Ratio Mathematica, 2022 We establish the relationships between the interior and closure operators among the µij -semiopen, µij -preopen, αµij -open, βµij -open sets in bigeneralized topological ...
M Anees Fathima, Jamuna Rani R
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Heliyon, 2020 We use the closure and the theta omega closure operators to introduce θω-continuous, ω-θ-continuous, weakly θω-continuous and faintly θω-continuous as new four classes of functions.
Samer Al Ghour, Bayan Irshidat
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Semistar Operations and Standard Closure Operations [PDF]
Communications in Algebra, 2014 The main change from the previous version is a new theorem in section 4 characterizing the standardized radical in terms of the total quotient ring. I also incorporated minor changes following the referee's comments.
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Dual closure operators and their applications [PDF]
, 2015 Departing from a suitable categorical description of closure operators, this paper dualizes this notion and introduces some basic properties of dual closure operators. Usually these operators act on quotients rather than subobjects, and much attention is
DIKRANJAN, Dikran, Tholen, Walter
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Closure Operators and Lattice Extensions [PDF]
Order, 2004 Let \(\Gamma \) be a closure operator on a set \(X\). Then Cl\((X,\Gamma )\) denotes the lattice of \(\Gamma \)-closed subsets of \(X\). If \(\Gamma \) and \(\Delta \) are closure operators on the same set \(X\), then \(\Delta \) is a weak (resp. strong) extension of \(\Gamma \) if Cl\((X,\Gamma )\) is a complete meet-subsemilattice (resp.
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Interior and closure operators on bounded residuated lattice ordered monoids [PDF]
, 2008 summary:$GMV$-algebras endowed with additive closure operators or with its duals-multiplicative interior operators (closure or interior $GMV$-algebras) were introduced as a non-commutative generalization of topological Boolean algebras. In the paper, the
Švrček, Filip
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Osteosarcoma (OS) and Ewing sarcoma (EWS) are the most common primary bone cancers in children, but acute thrombosis is poorly characterized in this population. Our study evaluated the rates of venous thromboembolism (VTE) and associated risk factors in pediatric patients with bone sarcomas treated over a 10‐year period encompassing
Sarah Kappa +8 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaIn this article, we study relationships between closure operators and hoops. We investigate the properties of closure operators and hoop-homomorphism on hoops. We show that the image of a closure operator on a hoop is isomorphic to a quotient hoop.
Borzooei R.A. +3 more
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