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2005/05/02 | 仿射概形[Affine Scheme]
类别(∑〖数学〗)
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(0)
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阅读(79)
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发表于 12:52
Let
P
be the set of
prime ideals
of a
commutative ring
A. Then an affine scheme is a technical mathematical object defined as the
ring spectrum
of
P
, regarded as a local-ringed space with a structure sheaf. A local-ringed space that is locally isomorphic to an affine scheme is called a
scheme
(Itô 1986, p. 69). An affine scheme is a generalization of the notion of
affine variety
, where the coordinate ring is replaced by any commutative unit ring, and the variety with the Zariski topology is replaced by any
topological space
.
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