Spectrum of A Ring

Spectrum Of A Ring

In abstract algebra and algebraic geometry, the spectrum of a commutative ring R, denoted by Spec(R), is the set of all proper prime ideals of R. It is commonly augmented with the Zariski topology and with a structure sheaf, turning it into a locally ringed space.

Read more about Spectrum Of A Ring:  Zariski Topology, Sheaves and Schemes, Functoriality, Motivation From Algebraic Geometry, Global Spec, Representation Theory Perspective, Functional Analysis Perspective, Generalizations

Famous quotes containing the word ring:

    Generally, about all perception, we can say that a sense is what has the power of receiving into itself the sensible forms of things without the matter, in the way in which a piece of wax takes on the impress of a signet ring without the iron or gold.
    Aristotle (384–323 B.C.)