Associative rings and algebras Basic notions Concept
Opposite ring
Summary
The opposite ring of a ring has the same elements and the same addition as , with the factors of every product swapped. A ring equals its opposite exactly when it is commutative. The opposite ring turns right modules into left modules and back. So results proved for one side carry over to the other. It also appears in the endomorphism ring of a ring viewed as a module over itself.
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| Tag | M8Q24XB0AF |
|---|---|
| URI | m2://M8Q24XB0AF |
| Kind | concept |
| Writing | W0 stub |
| MSC | 16B99 |
| Same as |
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