Results 21 to 30 of about 16,887 (181)
Formalized Mathematics, 2018 Summary We formalize in the Mizar system [3], [4] basic definitions of commutative ring theory such as prime spectrum, nilradical, Jacobson radical, local ring, and semi-local ring [5], [6], then formalize proofs of some related theorems along with the first chapter of [1].
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Journal of Kufa for Mathematics and Computer, 2013 Let  be a commutative ring with identity . It is well known that a topology was defined for  called the Zariski topology (prime spectrum) . In this paper we will generalize this idea for near prime ideal . If  be a commutative near-ring with identity
Hadi J Mustafa +1 more
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A new topology over the primary-like spectrum of a module
Applied General Topology, 2021 Let R be a commutative ring with identity and M a unitary R-module. The primary-like spectrum SpecL(M) is the collection of all primary-like submodules Q of M, the recent generalization of primary ideals, such that M/Q is a primeful R-module.
Fatemeh Rashedi
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Topological simplicity of the Cremona groups [PDF]
, 2015 The Cremona group is topologically simple when endowed with the Zariski or Euclidean topology, in any dimension $\ge 2$ and over any infinite field.
Blanc, Jérémy, Zimmermann, Susanna
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An Introduction to Zariski Spaces over Zariski Topologies
Rocky Mountain Journal of Mathematics, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
McCasland, R.L. +2 more
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Zariski topology on the spectrum of graded classical prime submodules
Applied General Topology, 2013 Let $R$ be a $G$-graded commutative ring with identity and let $M$ be a graded $R$-module. A proper graded submodule $N$ of $M$ is called graded classical prime if for every $a, b\in h(R)$, $m\in h(M)$, whenever $abm\in N$, then either $am\in N$ or $bm ...
Ahmad Yousefian Darani, Shahram Motmaen
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Zariski Subspace Topologies On Ideals
Hacettepe 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
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Hochster duality in derived categories and point-free reconstruction of schemes [PDF]
, 2015 For a commutative ring $R$, we exploit localization techniques and point-free topology to give an explicit realization of both the Zariski frame of $R$ (the frame of radical ideals in $R$) and its Hochster dual frame, as lattices in the poset of ...
Kock, Joachim, Pitsch, Wolfgang
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The quasi-Zariski topology-graph on the maximal spectrum of modules over commutative rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 Let M be a module over a commutative ring and let Max(M) be the collection of all maximal submodules of M. We topologize Max(M) with quasi-Zariski topology, where M is a Max-top module. For a subset T of Max(M), we introduce a new graph G(τT*m)$G(\tau_T^{
Ansari-Toroghy H., Habibi Sh.
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Some closure operations in Zariski-Riemann spaces of valuation domains: a survey [PDF]
, 2013 In this survey we present several results concerning various topologies that were introduced in recent years on spaces of valuation ...
C. Finocchiaro +31 more
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