Spectrum of a Ring

In algebraic geometry and commutative algebra, the prime spectrum, or simply the spectrum, of a commutative ring R is the set of all prime ideals of R, equipped with a topology called the Zariski topology. The spectrum is further equipped with a sheaf of commutative rings, called the structure sheaf, which makes it a ringed space known as an affine scheme. This construction is foundational to modern algebraic geometry, since it lets geometric ideas be applied directly to abstract commutative rings. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/