Results 41 to 50 of about 797,892 (301)
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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, 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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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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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Outcomes in relapsed or refractory pediatric and AYA bone sarcomas remain poor, and the impact of early referral to specialized sarcoma centers on survival is unclear. Early centralization of care may improve local and systemic treatment quality, but evidence in this population is limited.
Justyna Antoniuk‐Majchrzak +9 more
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Introduction Peritoneal dialysis (PD) is an established home‐based kidney replacement therapy (KRT), but its uptake remains low in Japan. We evaluated whether individualized education in a dedicated outpatient clinic was associated with the initiation of PD.
Yasuko Ito +7 more
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Diversity and complexity in neural organoids
FEBS Letters, EarlyView.Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
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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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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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