Results 31 to 40 of about 759,634 (294)
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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A novel topological structure based on closure filter [PDF]
Mathematics and Computational SciencesThis research explores a closure Filter structure which generates a novel closure Filter topology and defines a new operator that satisfies Kuratowski's closure axioms.
Raman Diwakar, Ramu Alagar
doaj +1 more source
Discrete Mathematics, 1998 The system of all closure operators on a set \(V\) forms in a natural way a lattice which is isomorphic to the lattice of all Moore families \((\text{MF}(V),\subseteq)\) of subsets of \(V\). The author shows the existence of a spanning tree for the lattice of Moore families.
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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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Polymatroids, Closure Operators and Lattices
Order, 2022 We study the closure operators of polymatroids from a lattice theoretic point of view. We show that polymatroid closure operators relate to lattices enriched with a generating set in the same way that matroids relate to geometric lattices. Through this relation we define a notion of minors for lattices enriched with a generating set. For the lattice of
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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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, 2017 The aim of this paper is to study L-fuzzy closure operator in Lfuzzy topological spaces. We introduce two kinds of L-fuzzy closure operators from different point view and prove that both L-TFCS–the category of topological L-fuzzy closure spaces–and L ...
Yue, Yueli, Shi, Fu-Gui
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Reciprocal control of viral infection and phosphoinositide dynamics
FEBS Letters, EarlyView.Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley +1 more source
Structural insights into an engineered feruloyl esterase with improved MHET degrading properties
FEBS Letters, EarlyView.A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa +5 more
wiley +1 more source
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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