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Difference between revisions of "Commutative ring"

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A ring the multiplication of which is commutative (cf. [[Commutativity|Commutativity]]). The theory of associative-commutative rings with a unit is called [[Commutative algebra|commutative algebra]]. An example of an non-associative commutative ring is a Jordan ring (see [[Jordan algebra|Jordan algebra]]).
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A ring the multiplication of which is commutative (cf. [[Commutativity]]). The theory of associative-commutative rings with a unit is called [[commutative algebra]]. An example of an non-associative commutative ring is a Jordan ring (see [[Jordan algebra]]).
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[[Category:Algebra]]

Latest revision as of 20:57, 2 November 2014

A ring the multiplication of which is commutative (cf. Commutativity). The theory of associative-commutative rings with a unit is called commutative algebra. An example of an non-associative commutative ring is a Jordan ring (see Jordan algebra).

How to Cite This Entry:
Commutative ring. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Commutative_ring&oldid=34253
This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article