Results 41 to 50 of about 477 (118)
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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A Zariski Topology for Modules [PDF]
Communications in Algebra, 2011 Given a duo module $M$ over an associative (not necessarily commutative) ring $R,$ a Zariski topology is defined on the spectrum $\mathrm{Spec}^{\mathrm{fp}}(M)$ of {\it fully prime} $R$-submodules of $M$. We investigate, in particular, the interplay between the properties of this space and the algebraic properties of the module under consideration.
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The categories of lattice-valued maps, equalities, free objects, and $\mathcal C$-reticulation [PDF]
Categories and General Algebraic Structures with Applications, 2019 In this paper, we study the concept of $\mathcal C$-reticulation for the category $\mathcal C$ whose objects are lattice-valued maps. The relation between the free objects in $\mathcal C$ and the $\mathcal C$-reticulation of rings and modules is ...
Abolghasem Karimi Feizabadi
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A note on the Zariski topology on groups
, 2023 6 ...
Goffer, Gil, Greenfeld, Be'eri
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$k$-Congruences and the Zariski topology in semirings
Hacettepe Journal of Mathematics and Statistics, 2021 The purpose of this paper is to study topological properties of both the set of all $k$-prime ideals and the set of all $k$-prime congruences for any commutative semiring with zero and identity. We first prove that the $k$-prime spectrum, i.e. the set of all $k$-prime ideals equipped with the Zariski topology is a spectral space, and then prove that ...
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Some Results on Fuzzy Zariski Topology on Spec(J.L)
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 Some Results on Fuzzy Zariski Topology on Spec(J.L)
R.N. Majeed
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Zhejiang Daxue xuebao. Lixue banIn the present paper, we define the minimum degree of polynomials. By using the minimum degree of polynomials and Zariski topology, we give a complete description of the images of polynomials with zero constant term on strictly upper triangular matrix ...
罗英语(LUO Yingyu) +1 more
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Second classical Zariski topology of multiplicational module
, 2021 Maloid-Hliebova M. Second classical Zariski topology of multiplicational module / M. Maloid-Hliebova // Algebraic and Geometric Methods of Analysis : book of abstr. the Intern. online sci. conf., Odessa, 25-28 May 2021 / [Odesa Nat. Acad.
Maloid-Hliebova, M.
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Productivity of the Zariski topology on groups [PDF]
, 2012 summary:This paper investigates the productivity of the Zariski topology $\mathfrak Z_G$ of a group $G$. If $\mathcal G = \{G_i\mid i\in I\}$ is a family of groups, and $G = \prod_{i\in I}G_i$ is their direct product, we prove that $\mathfrak Z_G ...
Guran, Igor +4 more
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Zariski Topologies for Coprime and Second Submodules [PDF]
Algebra Colloquium, 2015 Let M be a non-zero module over an associative (not necessarily commutative) ring. In this paper, we investigate the so-called second and coprime submodules of M. Moreover, we topologize the spectrum Spec s (M) of second submodules of M and the spectrum Spec c (M) of coprime submodules of M, study several properties of these spaces and investigate ...
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