Results 41 to 50 of about 16,887 (181)
Zariski‐type topology for implication algebras
Mathematical Logic Quarterly, 2010 AbstractIn this work we provide a new topological representation for implication algebras in such a way that its one‐point compactification is the topological space given in [1]. Some applications are given thereof (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Abad, Manuel +2 more
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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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On the second spectrum of lattice modules
Discussiones Mathematicae - General Algebra and Applications, 2017 The second spectrum Specs(M) is the collection of all second elements of M. In this paper, we study the topology on Specs(M), which is a generalization of the Zariski topology on the prime spectrum of lattice modules. Besides some properties, Specs(M) is
Phadatare Narayan +2 more
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AppliedMath, 2023 Let X be a smooth projective variety and f:X→Pr a morphism birational onto its image. We define the Terracini loci of the map f. Most results are only for the case dimX=1.
Edoardo Ballico
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A topological version of Hilbert's Nullstellensatz
, 2016 We prove that the space of radical ideals of a ring $R$, endowed with the hull-kernel topology, is a spectral space, and that it is canonically homeomorphic to the space of the nonempty Zariski closed subspaces of Spec$(R)$, endowed with a Zariski-like ...
Finocchiaro, Carmelo A. +2 more
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On the upper dual Zariski topology
Filomat, 2020 Let R be a ring with identity and M be a left R-module. The set of all second submodules of M is called the second spectrum of M and denoted by Specs(M). For each prime ideal p of R we define Specsp(M) := {S? Specs(M) : annR(S) = p}. A second submodule Q of M is called an upper second submodule if there exists a prime ideal p of R such that
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Modules and the second classical Zariski topology
Le Matematiche, 2018 Summary: Let \(R\) be an associative ring with identity and \(\mathrm{Spec}^{s}(M)\) denote the set of all second submodules of a right \(R\)-module \(M\). In this paper, we present a number of new results for the second classical Zariski topology on \(\mathrm{Spec}^{s}(M)\) for a right \(R\)-module \(M\).
Ceken, Secil, Alkan, Mustafa
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Inverse topology in BL-algebras
پژوهشهای ریاضی, 2020 In this paper, we introduce Inverse topology in a BL-algebra A and prove the set of all minimal prime filters of A, namely Min(A) with the Inverse topology is a compact space, Hausdorff, T0 and T1-Space.
Fereshteh Forouzesh +2 more
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New distinguished classes of spectral spaces: a survey
, 2015 In the present survey paper, we present several new classes of Hochster's spectral spaces "occurring in nature", actually in multiplicative ideal theory, and not linked to or realized in an explicit way by prime spectra of rings.
A Grothendieck +38 more
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Ranks with Respect to a Projective Variety and a Cost-Function
AppliedMath, 2022 Let X⊂Pr be an integral and non-degenerate variety. A “cost-function” (for the Zariski topology, the semialgebraic one, or the Euclidean one) is a semicontinuous function w:=[1,+∞)∪+∞ such that w(a)=1 for a non-empty open subset of X.
Edoardo Ballico
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