Commutative algebra Homological methods Concept
Complete intersection ring
Summary
A complete intersection ring is a local ring that is, after completion, a regular local ring divided by an ideal generated by a regular sequence. It is the algebraic version of a space cut out by exactly as many equations as its codimension. Every complete intersection ring is Gorenstein, and hence Cohen–Macaulay.
Further reading
About this page
| Tag | EPM2HKGMZS |
|---|---|
| URI | m2://EPM2HKGMZS |
| Kind | concept |
| Writing | W0 stub |
| MSC | 13H10, 14M10, 13C40 |
| Same as | |
| Changed | 2 November 2026 |
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