English Dictionary

commutative algebra

noun

(mathematics) The branch of algebra concerned with commutative rings and objects related to them (such as ideals and modules).

Commutative algebra is a branch of mathematics that studies commutative rings.

意味（1）

(mathematics) The branch of algebra concerned with commutative rings and objects related to them (such as ideals and modules).

1992, R. Keith Dennis, Claudio Pedrini, Michael R. Stein (editors), Algebraic K-theory, Commutative Algebra, and Algebraic Geometry: Proceedings of the Joint Seminar, American Mathematical Society.

意味（2）

(algebra) Any algebra (mathematical structure) in which the multiplication operation is commutative.

Theorem. If the complex of the linearly independent numbers of the form 𝜁a-a𝜁 be deleted from an algebra, the remaining numbers form a commutative algebra.