A topological characterization of the goldman prime spectrum of a commutative ring |
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Authors: | Othman Echi |
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Institution: | Department of Mathematics , Faculty of Sciences of Sfax , Tunisia, 3038 Sfax |
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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 = M ∩ R. 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. |
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Keywords: | G-ideal Zariski topology quasi-homeomorphism sober space |
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