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Some topological properties of the Zariski topology on $$PL.Spec_{g}(\Im )$$

São Paulo Journal of Mathematical Sciences
Suppose 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
openaire   +1 more source

On S-Zariski topology

Communications in Algebra, 2021
Eda Yildiz   +2 more
exaly  

CZ-Groups and the Zariski Topology

1973
Let 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 ...
openaire   +1 more source

The Zariski Topology on the Spectrum

2011
The 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.
openaire   +1 more source

Pre-Zariski topology

Boletim da Sociedade Brasileira de Matemática, 1974
openaire   +1 more source

Gelfand Factor Rings and Weak Zariski Topologies

Communications in Algebra, 2007
Fanggui Wang
exaly  

Zariski cancellation problem for noncommutative algebras

Selecta Mathematica, New Series, 2017
Jc Saunders
exaly  

Defining Network Topologies that Can Achieve Biochemical Adaptation

Cell, 2009
Ala Trusina   +2 more
exaly  

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