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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.

Contents

Idea

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

References

Revised on May 6, 2017 07:31:01 by Anonymous (87.165.118.230)