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A topological characterization of the goldman prime spectrum of a commutative ring
Authors:Othman Echi
Institution:Department of Mathematics , Faculty of Sciences of Sfax , Tunisia, 3038 Sfax
Abstract:A prime ideal p of a commutative ring R is said to be a Goldman ideal (or a G-ideal) if there exists a maximal ideal M of the polynomial ring RX] such that p = MR. A topological space is said to be goldspectral if it is homeomorphic to the space Gold(R) of G-ideals of R (Gold(R) is considered as a subspace of the prime spectrum Spec(R) equipped with the Zariski topology). We give here a topological characterization of goldspectral spaces.
Keywords:G-ideal  Zariski topology  quasi-homeomorphism  sober space
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