Associative rings and algebras Basic notions Concept
Noncommutative ring
Summary
A noncommutative ring is a ring in which the order of the factors in a product can matter. Matrix rings, quaternions, endomorphism rings and group rings of nonabelian groups are the main sources of examples. Many tools of commutative algebra split into left and right versions in this setting. The study of these rings is the subject of noncommutative ring theory.
Further reading
About this page
| Tag | D1SA8CHJV0 |
|---|---|
| URI | m2://D1SA8CHJV0 |
| Kind | concept |
| Writing | W0 stub |
| MSC | 16B99 |
| Specializes | Ring |
| Same as |
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