Commutative algebra

id: commutative-algebra-226-3964738
title: Commutative algebra
text: 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. Prominent examples of commutative rings include polynomial rings; rings of algebraic integers, including the ordinary integers Z ; and p-adic integers. Commutative algebra is the main technical tool of algebraic geometry, and many results and concepts of commutative a
brand slug: wiki
category slug: encyclopedia
description: Branch of algebra that studies commutative rings
original url: https://en.wikipedia.org/wiki/Commutative_algebra
date created: 2003-06-14T09:54:26Z
date modified: 2024-09-14T19:27:15Z
main entity: {"identifier":"Q727659","url":"https://www.wikidata.org/entity/Q727659"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/9/9e/Emmy_noether_postcard_1915.jpg","width":1403,"height":1789}
fields total: 13
integrity: 16

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