Ivan Shishkin, Birch Grove

Commutative ring

Concept history

A revision trail for this concept page.

3 revisions

Revision 829

8/2/2026, 7:40:35 AM · Ancient Tree

Concept edited

Recorded titleCommutative ring
Recorded typeDefinition
Compare with revision 8272 changed lines
1A commutative ring $(R,+,\times)$ is a [[Ring|ring]] such that the multiplicative law $\times$ is [[commutative|commutative]], hence :
2$$
3\forall x,y\in R, x\times y=y\times x
3\forall x,y\in R, \;x\times y=y\times x
4$$

Revision 827

8/2/2026, 7:31:44 AM · Sequoia

Concept edited

Compare with revision 2165 changed lines
1A commutative ring is a [[Ring|ring]] such that...
1A commutative ring $(R,+,\times)$ is a [[Ring|ring]] such that the multiplicative law $\times$ is [[commutative|commutative]], hence :
2$$
3\forall x,y\in R, x\times y=y\times x
4$$

Revision 216

7/3/2026, 6:41:44 PM · Ancient Tree

Concept created

A commutative ring is a [[Ring|ring]] such that...