commutative algebra

Noun

 * 1)  The branch of algebra concerned with commutative rings and objects related to them (such as ideals and modules).
 * 2) * 2003, Ragnar-Olaf Buchweitz, Morita contexts, idempotents, and Hochschild cohomology — with applications to invariant rings, Luchezar L. Avramov, Marcel Morales, Marc Chardin, Claudia Polini (editors), Commutative Algebra: Interactions with Algebraic Geometry: International Conference,, page 27,
 * It is not until section 7 that we deal with commutative algebra proper, whereas the sections leading up to it should be seen as advocacy that excursions into noncommutative algebra can help to shed light on problems in commutative algebra.
 * 1)  Any algebra (mathematical structure) in which the multiplication operation is commutative.
 * It is not until section 7 that we deal with commutative algebra proper, whereas the sections leading up to it should be seen as advocacy that excursions into noncommutative algebra can help to shed light on problems in commutative algebra.
 * 1)  Any algebra (mathematical structure) in which the multiplication operation is commutative.

Related terms

 * concerned with rings that are not assumed to be commutative

Translations

 * Italian: algebra commutativa
 * Portuguese: álgebra comutativa
 * Russian: коммутати́вная а́лгебра


 * Italian: algebra commutativa
 * Portuguese: álgebra comutativa
 * Russian: коммутати́вная а́лгебра