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What (who) is commutative algebra - definition

Commutative algebra

BRANCH OF ALGEBRA THAT STUDIES COMMUTATIVE RINGS

Commutative Algebra; History of commutative algebra; Commutative ring theory

Commutative algebra, first known as ideal theory, is the branch of algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra.

https://en.wikipedia.org/wiki/Commutative_algebra

Journal of Commutative Algebra

JOURNAL

Draft:Journal of Commutative Algebra; J. Commut. Algebra; J Commut Algebra

The Journal of Commutative Algebra is a peer-reviewed academic journal of mathematical research that specializes in commutative algebra and closely related fields. It has been published by the Rocky Mountain Mathematics Consortium (RMMC) since its establishment in 2009.

https://en.wikipedia.org/wiki/Journal_of_Commutative_Algebra

List of commutative algebra topics

WIKIMEDIA LIST ARTICLE

Outline of commutative algebra

Commutative algebra is the branch of abstract algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra.

https://en.wikipedia.org/wiki/List_of_commutative_algebra_topics

Examples of use of commutative algebra

1. The Aristotle University of Thessaloniki is hosting a workshop on «Combinatorics and Commutative Algebra II,» at the university’s facilities.