Results 11 to 20 of about 116,139 (242)
Dual Zariski Topology on Comultiplication Modules
This paper dealswith dual Zariski topology on comultiplication modules. We define a subspacetopology of dual Zariski topology on comultiplication modules and study someproperties of this subspace topology.
Ortaç Öneş
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Subspace graph topological space of graphs
A graph topology defined on a graph G is a collection ? of subgraphs of G which satisfies the properties such as K0, G ∈ ? and ? is closed under arbitrary union and finite intersection. Let (X, T) be a topological space and Y ⊆ X then, TY = {U ∩ Y : U ∈ T} is a topological space called a subspace topology or relative topology defined by T on Y. In this
Achu Aniyan, Sudev Naduvath
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Zariski Subspace Topologies On Ideals
Summary: In this paper, we show how there are tight relationships between algebraic properties of a commutative ring \(R\) and topological properties of open subsets of Zariski topology on the prime spectrum of \(R\). We investigate some algebraic conditions for open subsets of Zariski topology to become quasi-compact, dense and irreducible.
ÖNEŞ, Ortaç, ALKAN, Mustafa
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The Fuzzy Prime Spectrum of Partially Ordered Sets
We study the space of prime fuzzy ideals (and the space of maximal fuzzy ideals as a subspace) equipped with the hull-kernel topology in partially ordered sets.
Derso Abeje Engidaw +5 more
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Adjoint bi-continuous semigroups and semigroups on the space of measures [PDF]
For a given bi-continuous semigroup T on a Banach space X we define its adjoint on an appropriate closed subspace X^o of the norm dual X'. Under some abstract conditions this adjoint semigroup is again bi-continuous with respect to the weak topology (X^o,
A. A. Albanese +38 more
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Connectivity properties for subspaces of function spaces determined by fixed points
We study the topology of a subspace of the function space of continuous self-mappings of a given manifold: the subspace determined by maps having the least number of fixed points in its homotopy class.
Daciberg L. Gonçalves, Michael R. Kelly
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Weak Topologies on Subspaces of C(S) [PDF]
Let S be a locally compact Hausdorff space, E a linear subspace of C(S). It is shown that the unit ball of E is compact in the strict topology if and only if both of the following two conditions are satisfied: (1) E is the Banach space dual of M(S)/EO in the integration pairing, and (2) the bounded weak star topology on E coincides with the strict ...
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\(\mathcal{I}^{\mathcal{K}}\)-SEQUENTIAL TOPOLOGY
In the literature, \(\mathcal{I}\)-convergence (or convergence in \(\mathcal{I}\)) was first introduced in [11]. Later related notions of \(\mathcal{I}\)-sequential topological space and \(\mathcal{I}^*\)-sequential topological space were introduced and ...
H. S. Behmanush, M. Küçükaslan
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Covariant and contravariant approaches to topology
This paper is an exposition of results contained in [2]. The purpose of [2] is to present a way of viewing of basic topology which unifies quite a few results and concepts previously seemed not related (quotient maps, product topology, subspace topology,
Jerzy Dydak
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Zariski topology on the spectrum of intuitionistic fuzzy classical primary submodules [PDF]
In this paper, we define and study the notion of intuitionistic fuzzy classical primary submodules over a unitary R-module M, where R is a commutative ring with unity.
Poonam Kumar Sharma
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