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 R[X] 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.
| Original language | English |
|---|---|
| Pages (from-to) | 2329-2337 |
| Number of pages | 9 |
| Journal | Communications in Algebra |
| Volume | 28 |
| Issue number | 5 |
| DOIs | |
| State | Published - 2000 |
| Externally published | Yes |
Bibliographical note
Funding Information:* Supported by the DGRST (E031C15) AMS Subject Classification: 54 F 65, 13 C 15. Key words: G-ideal, Zariski topology, quasi-homeomorphism, sober space.
Keywords
- G-ideal
- Quasi-homeomorphism
- Sober space
- Zariski topology
ASJC Scopus subject areas
- Algebra and Number Theory
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