closure operators
A Note on the Lattice of L-Closure Operators
... -closure operators on a given nonempty set X when membership lattice L is a bounded ...-closure operators is distributive, modular but not atomic and not ...
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Adjoint functors, preradicals and closure operators in module categories
... The present work is devoted to the study of preradicals and closure operators in module categories. The behaviour of these constructions is investigated in an adjoint situation, i.e. in the case of two ...
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Some Closure Operators and Topologies on a Hyper BCK-algebra
... Conclusion Right and left applications of a hyper order associated with a hyper BCK- algebra can give rise to two closure operators which , in turn, can be used to generate bases for some topologies on the ...
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Closure operators in modules and adjoint functors, I
... (see Section 1). Now we will define two mappings which operate between the classes of closure operators CO (R) and CO (S) of the categories R-Mod and S-Mod. We essentially use some peculiarities of studied ...
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L-fuzzy closure operators and L-fuzzy cotopologies
... We investigate L-fuzzy closure operators and L-fuzzy cotopologies in a complete residuated lattice. Also, we study the categorical relationship between L-fuzzy closure spaces and L- fuzzy ...
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On Generalized Closure Operators in Generalized Topological Spaces
... The paper is organized as follows. Section 2 contains preliminaries. Section 3 contains the interaction among generalized topological spaces,(ascending, complete) generalized neighbourhood systems and strong generalized ...
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Preradicals, closure operators in \(R\)-Mod and connection between them
... A b s t r ac t . For a module category R-Mod the class PR of preradicals and the class CO of closure operators are studied. The relations between these classes are realized by three mappings: Φ : CO → PR ...
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Closure operators in the categories of modules Part II (Hereditary and cohereditary operators)
... hereditary closure operators were considered: hereditary, weakly hereditary maximal, hereditary ...of closure operators C by means of the associated functions F ...
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Closure operators in the categories of modules Part I (Weakly hereditary and idempotent operators)
... every closure operator C of R-Mod “the nearest” weakly hereditary or idempotent closure operator is ...of closure operators and consists in the following ...
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The families of soft L-topologies and soft closure operators
... Rodabaugh, Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory, The Hand- books of Fuzzy Sets Series 3, Kluwer Academic Publishers, Boston, 1999.. [7] A.[r] ...
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Mathematical morphology and poset geometry
... Abstract. The aim of this paper is to characterize morphological convex geometries (resp., antimatroids). We define these two structures by using closure operators, and kernel operators. We show that ...
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Generalization of fuzzy b-open sets in fuzzy topological spaces
... - closure operators of a fuzzy topological space where C :[0, 1] [0, 1] is a function and investigate some of their basic properties of a fuzzy topological ...
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Fuzzy θ closure operator on fuzzy topological spaces
... In Section 2 of this paper we develop the concept of fuzzy O-closure operators and characterize fuzzy O-closures of fuzzy sets in a fuzzy topological space in different ways.. In literat[r] ...
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PP 2002 07: Euclidean Hierarchy in Modal Logic
... Since CHR∞ is a Boolean algebra closed with respect to the interior and closure operators of R∞ , it is obvious that L∞ is a normal modal logic over S4.. We refer to L∞ as the logic of [r] ...
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Vol 2, No 8 (2011)
... and closure of A in (X, ). In [5], using the interior and closure operators of the generalized topologies and on X, we introduce the following family of generalized open sets, namely, the family of - ...
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The products of soft quasi-uniformities and soft topologies
... Kim [11-15] introduced the soft topological structures, fuzzy quasi-uniformities and soft closure operators in complete residuated lattices.. In this paper, we investigate the relations [r] ...
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Neighborhood spaces
... and closure spaces as special cases of neighborhood ...(or closure) operators, which, in each case, can be axiomatically described by generalizing in different ways the Kuratowski interior operator ...
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Weighted boundedness for Toeplitz type operators related to strongly singular integral operators
... type operators related to the sin- gular integral operators and strongly singular integral operators are introduced, and the boundedness for the operators generated by BMO and Lipschitz ...
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Information communication technology adoption and business performance of tour operators in malaysia
... e-tour operators, e- intermediaries, search engines, review sites, and hotel websites; tourists and travellers can book their travel online directly (Murphy ...tour operators or travel agent towards online ...
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Review on Overview of Oracle Operators
... set operators allows combine results from two or more SELECT ...set operators UNION, UNION ALL, INTERSECT, and MINUS. All set operators have equal ...set operators, Oracle evaluates them from ...
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