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A Zariski topology for k-semirings
The prime k-spectrum SpeckR of a k-semiring R will be introduced. It will be proven that it is a topological space, and some properties of this space will be investigated. Connections between the topological properties of SpeckR and possible algebraic properties of the k-semiring R will be established.
Atani, S., EbrahimiAtani, R.
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Closure of orbits of the pure mapping class group in the character variety. [PDF]
Golsefidy AS, Tamam N.
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Critical points and syzygies for Feynman integrals. [PDF]
Page B, Song Q.
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A Remark on Torsors under Affine Group Schemes. [PDF]
Wibmer M.
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Identifiability of Level-1 Species Networks from Gene Tree Quartets. [PDF]
Allman ES +3 more
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Zariski-topology for co-ideals of commutative semirings.
Summary: Let \(R\) be a semiring and \(\mathrm{co-spec}(R)\) be the collection of all prime strong co-ideals of \(R\). In this paper, we introduce and study a generalization of the Zariski topology of ideals in rings to co-ideals of semirings. We investigate the interplay between the algebraic-theoretic properties and the topological properties of ...
Atani, S. +2 more
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Zariski topology and Markov topology on groups
Topology and its Applications, 2018This is a second survey of the same authors on the Zariski topology and the Markov topology. Indeed, [\textit{D. Dikranjan} and \textit{D. Toller}, in: Ischia group theory 2010. Proceedings of the conference in group theory, Ischia, Naples, Italy, April 14--17, 2010. Hackensack, NJ: World Scientific.
Dikranjan, Dikran, Toller, Daniele
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Communications in Algebra, 2020
Let R be a commutative ring with nonzero identity and, S ⊆ R be a multiplicatively closed subset.
Koç, Suat +3 more
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Let R be a commutative ring with nonzero identity and, S ⊆ R be a multiplicatively closed subset.
Koç, Suat +3 more
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Zariski topology on lattice modules
Asian-European Journal of Mathematics, 2015Let [Formula: see text] be a lattice module over a [Formula: see text]-lattice [Formula: see text] and [Formula: see text] be the set of all prime elements in lattice modules [Formula: see text]. In this paper, we study the generalization of the Zariski topology of multiplicative lattices [N. K. Thakare, C. S. Manjarekar and S.
Ballal, Sachin, Kharat, Vilas
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