Global Spec | Wikipedia audio article
Channel: wikipedia tts
Date: 13/06/2019

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Spectrum_of_a_ring


00:00:29 1 Zariski topology
00:02:35 2 Sheaves and schemes
00:03:06 3 Functorial perspective
00:05:41 4 Motivation from algebraic geometry
00:06:00 5 Examples
00:08:44 6 Non-affine Examples
00:11:21 7 Global or relative Spec
00:14:46 7.1 Example of a relative Spec
00:18:42 8 Representation theory perspective
00:24:18 9 Functional analysis perspective
00:30:33 10 Generalizations
00:35:08 11 See also
00:38:02 12 References
00:39:05 13 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.