Word.ws English Dictionary

affine scheme

affine scheme noun: an abstract, geometric object in mathematics which generalizes the notion of an affine variety qua domain of a commutative ring of polynomial functions: a space which is the result of a particular construction beginning with an arbitrary commutative ring whereby elements of the ring can be thought of as functions on the space; a space which can be constructed in such a way. Formally: the spectrum of a commutative ring; a locally ringed space isomorphic to the spectrum of a commutative ring.

Noun

affine scheme (plural affine schemes)

  1. An abstract, geometric object in mathematics which generalizes the notion of an affine variety qua domain of a commutative ring of polynomial functions: a space which is the result of a particular construction beginning with an arbitrary commutative ring whereby elements of the ring can be thought of as functions on the space; a space which can be constructed in such a way. Formally: the spectrum of a commutative ring; a locally ringed space isomorphic to the spectrum of a commutative ring.

Forms of affine scheme

pluralaffine schemes

Questions about affine scheme

What does affine scheme mean?
Affine scheme means an abstract, geometric object in mathematics which generalizes the notion of an affine variety qua domain of a commutative ring of polynomial functions: a space which is the result of a particular construction beginning with an arbitrary commutative ring whereby elements of the ring can be thought of as functions on the space; a space which can be constructed in such a way. Formally: the spectrum of a commutative ring; a locally ringed space isomorphic to the spectrum of a commutative ring.
What part of speech is affine scheme?
Affine scheme is a noun.
What is the plural of affine scheme?
The plural of affine scheme is affine schemes.

Words near affine scheme in the dictionary

  1. affine geometry
  2. affine group
  3. affine groups
  4. affine hull
  5. affine hulls
  6. affine scheme
  7. affine schemes
  8. affine space
  9. affine spaces
  10. affine span
  11. affine spans

Source and license

Adapted from Wiktionary: affine scheme (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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