The prime spaces as spectral spaces
Copyright policy )The prime spaces as spectral spaces
The Zariski-Riemann surface (the underlying set of which is the collection of all valuation domains of some field containing the given integral domain) plays an important role in Zariski's resolution of singularities. Many researchers try to extend the concept of valuation and also that of Zariski Riemann-surface. The Gam space introduced by Connell extends the Zariski Riemann-surface and the prime space. --- In this paper the author studies topological properties of the Gam space and establishes a connection with Hochster's theory of spectral spaces.
- Sapienza University of Rome Italy
- McGill University Canada
- Roma Tre University Italy
prime spectrum, Relevant commutative algebra, Zariski-Riemann surface, Valuations and their generalizations for commutative rings, spectral spaces, valuations, topological properties of the Gam space
prime spectrum, Relevant commutative algebra, Zariski-Riemann surface, Valuations and their generalizations for commutative rings, spectral spaces, valuations, topological properties of the Gam space
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