Results 1 to 10 of about 2,589 (113)
Zariski Topologies on Graded Ideals
Tatra Mountains Mathematical Publications, 2021 Abstract In this paper, we show there are strong relations between the algebraic properties of a graded commutative ring R and topological properties of open subsets of Zariski topology on the graded prime spectrum of R. We examine some algebraic conditions for open subsets of Zariski topology to become quasi-compact, dense, and ...
Bataineh, Malik +2 more
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The Basic Zariski Topology [PDF]
Confluentes Mathematici, 2016 We present the Zariski spectrum as an inductively generated basic topology à la Martin-Löf and Sambin. Since we can thus get by without considering powers and radicals, this simplifies the presentation as a formal topology initiated by Sigstam.
Rinaldi, Davide +2 more
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Zariski topology over multiplication Krasner hypermodules
Ukrains’kyi Matematychnyi Zhurnal, 2022 UDC 512.5 In this paper, we introduce the notion of multiplication Krasner hypermodules over commutative hyperrings and topologize the collection of all multiplication Кrasner hypermodules. In addition, we investigate some properties of this topological space.
Kulak, Ö., Türkmen, B. N.
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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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Topological characterization of Gelfand and zero dimensinal semirings
Applied General Topology, 2018 Let R be a conmutative semiring with 0 and 1, and let Spec(R) be the set of all proper prime ideals of R. Spec(R) can be endowed with two topologies, the Zariski topology and the D-topology.
Jorge Vielma, Luz Marchan
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Developed Zariski topology-graph
Discussiones Mathematicae - General Algebra and Applications, 2017 In this paper, we introduce the developed Zariski topology-graph as- sociated to an R-module M with respect to a subset X of the set of all quasi-prime submodules of M and investigate the relationship between the algebraic properties of M and the properties of its associated developed Zariski topology-graph.
Hassanzadeh-Lelekaami Dawood +1 more
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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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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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Quiz Games as a model for Information Hiding [PDF]
, 2015 We present a general computation model inspired in the notion of information hiding in software engineering. This model has the form of a game which we call quiz game.
Bank, Bernd +5 more
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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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