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.
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In mathematics, and more specifically in commutative algebra and algebraic geometry, the prime spectrum (or simply the spectrum) of a commutative ring R {\displaystyle R} is the set of all prime ideals of R, {\displaystyle R,} equipped with a topology called the Zariski topology.
In Branch: Commutative Algebra, Lead sentence
In mathematics, and more specifically in commutative algebra and algebraic geometry, the prime spectrum (or simply the spectrum) o
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