nLab spectrum of a commutative ring

This entry is about the formal dual topological space of a commutative ring. For the very different notion of a similar name in higher algebra see at ring spectrum. For more see at spectrum - disambiguation.

Idea

Given a commutative ring $R$, its spectrum is the topological space whose points are the prime ideals of $R$ and whose topology is the Zariski topology on these prime ideals. (The prime spectrum)

Related concepts

• projective spectrum?

• spectrum (geometry)

  • prime spectrum

  • formal spectrum

• prime spectrum of a monoidal stable (∞,1)-category

• affine scheme

• spectral topological space

References

• Wikipedia, Spectrum of a ring