commutative algebra

This page deals with the area of study. For algebras which are commutative, see algebra (disambiguation).In abstract algebra, commutative algebra studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra. Prominent examples of commutative rings include polynomial rings, rings of algebraic integers, including the ordinary integers Z, and p-adic integers.
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