Results 11 to 20 of about 116,139 (242)

Dual Zariski Topology on Comultiplication Modules

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
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
doaj   +1 more source

Subspace graph topological space of graphs

open access: yesProyecciones (Antofagasta), 2023
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
openaire   +2 more sources

Zariski Subspace Topologies On Ideals

open access: yesHacettepe Journal of Mathematics and Statistics, 2018
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
openaire   +3 more sources

The Fuzzy Prime Spectrum of Partially Ordered Sets

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2023
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
doaj   +1 more source

Adjoint bi-continuous semigroups and semigroups on the space of measures [PDF]

open access: yes, 2010
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
core   +2 more sources

Connectivity properties for subspaces of function spaces determined by fixed points

open access: yesAbstract and Applied Analysis, 2003
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
doaj   +1 more source

Weak Topologies on Subspaces of C(S) [PDF]

open access: yesTransactions of the American Mathematical Society, 1971
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 ...
openaire   +2 more sources

\(\mathcal{I}^{\mathcal{K}}\)-SEQUENTIAL TOPOLOGY

open access: yesUral Mathematical Journal, 2023
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
doaj   +1 more source

Covariant and contravariant approaches to topology

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
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
doaj   +1 more source

Zariski topology on the spectrum of intuitionistic fuzzy classical primary submodules [PDF]

open access: yesNotes on IFS
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
doaj   +1 more source

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