Results 81 to 90 of about 477 (118)
Ideas from Zariski Topology in the Study of Cubical Homology
, 2007 Cubical sets and their homology have been used in dynamical systems as well as in digital imaging. We take a fresh look at this topic, following Zariski ideas from algebraic geometry.
Anik Trahan +2 more
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, 2019 65 pages. We generalized the results in the first version and add an appendix in collaboration with Thomas TuckerInternational audienceIn this paper we prove the following theorem. Let $f$ be a dominant endomorphism of a smooth projective surface over an
Xie, Junyi
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A Topology on S-Spectrum of a Module
, 2022 Prime ideals/submodules and their generalizations play a significant role in Commutative Algebra and Algebraic Geometry. These structures help to characterize some rings and modules and also they have many applications in some branches of mathematics ...
Yıldız, Eda +2 more
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The Zariski Topology on the prime spectrum of a commutative ring
, 2019 The Zariski Topology in an interesting topic in algebraic geometry that combines commutative algebra and topology to deal with questions that are algebraic and geometrical in nature.
Kim, Choomee
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, 2023 In this paper, we continue the study of the embedded topology of plane algebraic curves. We study the realization space of conic line arrangements of degree $7$ with certain fixed combinatorics and determine the number of connected components.
Bannai, Shinzo +4 more
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Classical S-Zariski Topology of a Module
Let R be a commutative ring with identity and let S be a multiplicatively closed subset of R. A submodule P of an R-module M with (P:RM)boolean AND S=& empty;\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts ...
Yilmaz, Yucel, Ceken, Secil
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Completeness in Zariski Groups
, 2007 Zariski groups are @0-stable groups with an axiomatically given Zariski topology and thus abstract generalizations of algebraic groups. A large part of algebraic geometry can be developed for Zariski groups.
Markus Junker
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Stable Topology on Ideals for Residuated Lattices
Transactions on Fuzzy Sets and SystemsResiduated lattices are the major algebraic counterpart of logics without contraction rule, as they are more generalized logic systems including important classes of algebras such as Boolean algebras, MV-algebras, BL-algebras, Stonean residuated lattices,
Ariane GABRIEL Tallee Kakeu +4 more
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