Results 21 to 30 of about 23,371 (266)

A Theory of Closure Operators [PDF]

, 2008
We explore how fixed-point operators can be designed to interact and be composed to form autonomic control mechanisms. We depart from the idea that an operator is idempotent only for the states that it assures, and define a more general concept in which acceptable states are a superset of assurable states.
Alva L. Couch, Marc Chiarini
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P*-closure operator and p*-regularity in fuzzy setting [PDF]

Mathematica Moravica, 2015
In this paper a new type of fuzzy regularity, viz. fuzzy p*- regularity has been introduced and studied by a newly defined closure operator, viz., fuzzy p*-closure operator.
Bhattacharyya Anjana
doaj  

Another closure operator on preneighbourhood spaces [PDF]

Categories and General Algebraic Structures with Applications
The notions of dense, proper, separated or perfect morphisms and hence of compact, Hausdorff or compact Hausdorff are all consequent to good properties of a family of closed morphisms is well known in literature.
Partha Ghosh
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Closure operators I

Topology and its Applications, 1987
Closure operators form a familiar tool in topology. The authors introduce an abstract notion of closure operator in the realm of arbitrary categories. It turns out that there is a close connection between closure operators and factorization structures (for sinks).
DIKRANJAN, Dikran, . Giuli E.
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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 [PDF]

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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Efficient Algorithms on the Family Associated to an Implicational System [PDF]

Discrete Mathematics & Theoretical Computer Science, 2004
An implication system (IS) on a finite set S is a set of rules called Σ -implications of the kind A →_Σ B, with A,B ⊆ S. A subset X ⊆ S satisfies A →_Σ B when ''A ⊆ X implies B ⊆ X'' holds, so ISs can be used to describe constraints on sets of elements ...
Karell Bertet, Mirabelle Nebut
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A novel topological structure based on closure filter [PDF]

Mathematics and Computational Sciences
This 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
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Improved inclusion-exclusion identities via closure operators [PDF]

Discrete Mathematics & Theoretical Computer Science, 2000
Let (A_v)_v ∈ V be a finite family of sets. We establish an improved inclusion-exclusion identity for each closure operator on the power set of V having the unique base property.
Klaus Dohmen
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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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