Difference between revisions of "Commutative ring"
From Encyclopedia of Mathematics
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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]]). | 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]]). | ||
Revision as of 15:47, 1 May 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=32078
Commutative ring. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Commutative_ring&oldid=32078
This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article