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Wikidata facts
- Said to be same as
- affine scheme
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- studied by
- commutative algebra
- opposite of
- noncommutative ring
- on focus list of Wikimedia project
- Wikipedia:Vital articles/Level/4
- maintained by WikiProject
- WikiProject Mathematics
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Encyclopedic overview
In mathematics, a commutative ring is a ring in which the multiplication operation is commutative. The study of commutative rings is called commutative algebra. Complementarily, noncommutative algebra is the study of ring properties that are not specific to commutative rings. This distinction results from the high number of fundamental properties of commutative rings that do not extend to noncommutative rings.
Commutative rings appear in the following chain of class inclusions:
Excerpted from Wikipedia’s “commutative ring” article, available under the CC BY-SA 4.0 licence.