Results 101 to 110 of about 477 (118)
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Zariski topology and Markov topology on groups
Topology and its Applications, 2018This is a second survey of the same authors on the Zariski topology and the Markov topology. Indeed, [\textit{D. Dikranjan} and \textit{D. Toller}, in: Ischia group theory 2010. Proceedings of the conference in group theory, Ischia, Naples, Italy, April 14--17, 2010. Hackensack, NJ: World Scientific.
Dikranjan, Dikran, Toller, Daniele
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The Zariski Topology on the Second Spectrum of a Module
Algebra Colloquium, 2014Let R be a commutative ring and M be an R-module. The second spectrum Spec s(M) of M is the collection of all second submodules of M. We topologize Spec s(M) with Zariski topology, which is analogous to that for Spec (M), and investigate this topological space.
Ansari-Toroghy, H., Farshadifar, F.
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On the Maximal Spectrum of a Module and Zariski Topology
Bulletin of the Malaysian Mathematical Sciences Society, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ansari-Toroghy, H., Keyvani, S.
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2010
In this chapter we will put a topology on Kn and on affine varieties. This topology is quite weak, but surprisingly useful. We will define an analogous topology on Spec(R). In both cases, there are correspondences between closed sets and radical ideals.
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In this chapter we will put a topology on Kn and on affine varieties. This topology is quite weak, but surprisingly useful. We will define an analogous topology on Spec(R). In both cases, there are correspondences between closed sets and radical ideals.
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On Zariski topologies on polyrings
Russian Mathematical Surveys, 2017The article is devoted to the Zariski topology on polyrings. Interiors of finite-valued sets are studied. Properties of products of polyrings are investigated.
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Productivity of the Zariski topology on groups.
2013Summary: This paper investigates the productivity of the Zariski topology \(\mathfrak Z_G\) of a group \(G\). If \(\mathcal G=\{G_i\mid i\in I\}\) is a family of groups and \(G=\prod _{i\in I}G_i\) is their direct product, we prove that \(\mathfrak Z_G\subseteq\prod _{i\in I}\mathfrak Z_{G_i}\).
DIKRANJAN, Dikran, TOLLER, Daniele
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The Zariski topology on the spectrum of prime L-submodules
Soft Computing, 2007Let \(R\) be a commutative ring with identity and \(M\) a unitary \(R\)-module. Let \(L\text{-Spec}(M)\) denote the set of all prime \(L\)-submodules of \(M\), where \(L\) is a complete lattice. In this paper, the authors provide a topology for \(L\text{-Spec}(M)\) in a natural way.
Reza Ameri, R. Mahjoob, M. Mootamani
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Zariski subhyperspace topology on hyperideals
Rendiconti del Circolo Matematico di Palermo Series 2zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Öz, N. M. Polat, Türkmen, B. Nişancı
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The Zariski topology graph on scheme
Asian-European Journal of Mathematics, 2018Let [Formula: see text] be a quasi-compact scheme and [Formula: see text]. By [Formula: see text] and [Formula: see text], we denote the set of closed points of [Formula: see text] and the closure of the subset [Formula: see text]. Let [Formula: see text] be a nonempty subset of [Formula: see text].
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The Zariski Topology on the Spectrum
2011The goal of this chapter is to introduce the Zariski topology on Spec A. Throughout this chapter, by “ring” we mean a non-zero commutative ring with unity.
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