Results 21 to 30 of about 477 (118)
Groups with cofinite Zariski topology and potential density
, 2023 Tkachenko and Yaschenko [33] characterized the abelian groups G such that all proper unconditionally closed subsets of G are finite, these are precisely the abelian groups G having cofinite Zariski topology (they proved that such a G is either almost ...
Bonatto M., Toller D., Dikranjan D.
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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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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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A Zariski Topology for Bicomodules and Corings [PDF]
Applied Categorical Structures, 2007 In this paper we introduce and investigate top (bi)comodules} of corings, that can be considered as dual to top (bi)modules of rings. The fully coprime spectra of such (bi)comodules attains a Zariski topology, defined in a way dual to that of defining the Zariski topology on the prime spectra of (commutative rings.
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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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The Zariski Topology for distributive lattices
Rocky Mountain Journal of Mathematics, 1987 The purpose of this paper is to study an intrinsic topology for distributive lattices which by its very definition is analogous to the classical Zariski topology on rings. As in the case of rings, the Zariski topology is the coarsest topology making solution sets of polynomials closed.
Gierz, Gerhard, Stralka, Albert
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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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Zariski-Like Topology on S-Quasi-Primary Ideals of a Commutative Ring
Journal of Mathematics, 2022 Let R be a commutative ring with nonzero identity and, S⊆R be a multiplicatively closed subset. An ideal P of R is called an S-quasi-primary ideal if P∩S=∅ and there exists an (fixed) s∈S and whenever ab∈P for a,b∈R then either sa∈P or sb∈P.
Bana Al Subaiei, Noômen Jarboui
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On minimal spectrum of multiplication lattice modules [PDF]
Mathematica Bohemica, 2019 We study the minimal prime elements of multiplication lattice module $M$ over a $C$-lattice $L$. Moreover, we topologize the spectrum $\pi(M)$ of minimal prime elements of $M$ and study several properties of it.
Sachin Ballal, Vilas Kharat
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