Login Preferences
About News Publications Statistics Downloads API Guide License How to use Preferences
bn:03083785n
Noun Concept
Categories: Scheme theory, Commutative algebra, Functional analysis, Prime ideals
EN
spectrum of a ring  affine scheme  affine schemes  category of affine schemes  global Spec
EN
In commutative algebra, the prime spectrum of a ring R is the set of all prime ideals of R, and is usually denoted by Spec ⁡ R {\displaystyle \operatorname {Spec} {R}} ; in algebraic geometry it is simultaneously a topological space equipped with the sheaf of rings O {\displaystyle {\mathcal {O}}}. Wikipedia
Definitions
Relations
Sources
EN
In commutative algebra, the prime spectrum of a ring R is the set of all prime ideals of R, and is usually denoted by Spec ⁡ R {\displaystyle \operatorname {Spec} {R}} ; in algebraic geometry it is simultaneously a topological space equipped with the sheaf of rings O {\displaystyle {\mathcal {O}}}. Wikipedia
A mathematical structure often written as Spec Wikipedia Disambiguation
The set of its prime ideals, in commutative algebra Wikipedia Disambiguation
Set of a ring's prime ideals Wikidata
IS A
set
DIFFERENT FROM
Proj construction
ring spectrum
commutative ring spectrum
Wikipedia
EN
spectrum of a ring
Wikidata
EN
spectrum of a ring
Wikipedia Redirections
EN
affine scheme, affine schemes, category of affine schemes, global Spec, prime ideal spectrum, Prime ideal topology, prime spectrum, Relative Spec, Spec of a ring, spectrum (ring theory)
Wikidata Alias
EN
prime spectrum, ring spectrum, spectrum of a commutative ring

Please note that, in order to improve your browsing experience on this website, BabelNet® uses various types of cookies, including: browsing functionality, performance and statistical cookies.

By continuing to browse the site you are agreeing to our use of cookies. OK

License