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Some topological properties of the Zariski topology on $$PL.Spec_{g}(\Im )$$
São Paulo Journal of Mathematical SciencesSuppose that \(G\) is a group with identity e, \(\mathfrak{R}\) is a \(G\)-graded commutative ring, and \(\mathfrak{J}\) a graded \(\mathfrak{R}\)-module. Then the \textit{graded primary-like spectrum} \(\mathrm{PL.Spec}_g(\mathfrak{J})\) is the set of all graded primary-like submodules of \(\mathfrak{J}\) satisfying the \(gr\)-primeful property ...
Malik Jaradat +2 more
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CZ-Groups and the Zariski Topology
1973Let U be the space of n-row vectors over the field F and R = F [X1,..., X n ], the polynomial ring over F in n indeterminates. A subset A of U is said to be closed in U if there exists a subset S of R such that A is the set of zeros of S, that is if $$ A = \left\{ {\left( {{a_{1}}, \ldots ,{a_{n}}} \right) \in U:f\left( {{a_{1}}, \ldots ,{a_{n ...
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The Zariski Topology on the Spectrum
2011The goal of this chapter is to introduce the Zariski topology on Spec A. Throughout this chapter, by “ring” we mean a non-zero commutative ring with unity.
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Zariski cancellation problem for noncommutative algebras
Selecta Mathematica, New Series, 2017Jc Saunders
exaly
Defining Network Topologies that Can Achieve Biochemical Adaptation
Cell, 2009Ala Trusina +2 more
exaly
Geometry of bisections of elliptic surfaces and Zariski $$N$$ N -plets for conic arrangements
Geometriae Dedicata, 2015Shinzo Bannai
exaly

