Results 161 to 170 of about 16,887 (181)
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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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Dual of Zariski Topology for Modules
AIP Conference Proceedings, 2011In this paper we introduce the dual Zariski topology on the set of second submodules of M, denoted by Specs(M), for an R‐module M. We give some relationships between Specs(M) and Spec(R/Ann(M)). By using this topological space, we give some characterizations of rings and modules.
Seçil Çeken +5 more
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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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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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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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On the Zariski topology of $��$-groups
2017This is a corrected version of the ...
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Some topological properties of the Zariski topology on $$PL.Spec_{g}(\Im )$$
São Paulo Journal of Mathematical SciencesSuppose that \(G\) is a group with identity e, \(\mathfrak{R}\) is a \(G\)-graded commutative ring, and \(\mathfrak{J}\) a graded \(\mathfrak{R}\)-module. Then the \textit{graded primary-like spectrum} \(\mathrm{PL.Spec}_g(\mathfrak{J})\) is the set of all graded primary-like submodules of \(\mathfrak{J}\) satisfying the \(gr\)-primeful property ...
Malik Jaradat +2 more
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