Commutative algebra Local rings Concept
Semi-local ring
Summary
A semi-local ring is a commutative ring with only finitely many maximal ideals. It generalizes a local ring, which has exactly one. Semi-local rings arise when one localizes at the complement of a finite union of prime ideals. They also appear in the study of integral extensions of local rings.
Further reading
About this page
| Tag | 6DYAGW68AV |
|---|---|
| URI | m2://6DYAGW68AV |
| Kind | concept |
| Writing | W0 stub |
| MSC | 13H99 |
| Same as | |
| Changed | 2 November 2026 |
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