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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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The Patch Topology and the Ultrafilter Topology on the Prime Spectrum of a Commutative Ring
Communications in Algebra, 2008Marco Fontana
exaly
The Zariski Topology on the Second Spectrum of a Module (II)
Bulletin of the Malaysian Mathematical Sciences Society, 2015exaly