Affine scheme | Wikipedia audio article
Channel: wikipedia tts
Date: 2019-03-28

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Spectrum_of_a_ring


00:00:30 1 Zariski topology
00:02:41 2 Sheaves and schemes
00:03:13 3 Functorial perspective
00:05:56 4 Motivation from algebraic geometry
00:06:15 5 Examples
00:09:04 6 Not-Affine Examples
00:11:49 7 Global or relative Spec
00:15:25 8 Example of relative Spec
00:19:29 9 Representation theory perspective
00:25:13 10 Functional analysis perspective
00:32:16 11 Generalizations
00:37:00 12 See also
00:40:02 13 References
00:41:09 14 External links



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SUMMARY
=======
In algebra and algebraic geometry, the spectrum of a commutative ring R, denoted by 
  
    
      
        Spec
        ⁡
        (
        R
        )
      
    
    {\displaystyle \operatorname {Spec} (R)}
  , is the set of all prime ideals of R. It is commonly augmented with the Zariski topology and with a structure sheaf, turning it into a locally ringed space. A locally ringed space of this form is called an affine scheme.