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In commutative algebra, a regular sequence is a sequence of elements of a commutative ring which are as independent as possible, in a precise sense. This is the algebraic analogue of the geometric notion of a complete intersection.
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ring sequence regular depth ideal local elements r-module r1 rd maximal generated noetherian cohen-macaulay intersection isbn dimension commutative complete m-regular
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Regular sequence | is a | sequence of elements of a commutative ring which are as independent as possible | 0.90 | text |
| Regular sequence | is a | sequence r1 | 0.90 | text |
| Regular sequence | is a | regular sequence | 0.90 | text |
| Regular sequence | has application | If | 0.60 | section |
| Regular sequence | has application | Koszul | 0.60 | section |
| Regular sequence | has application | R-module | 0.60 | section |
| Regular sequence | has application | In | 0.60 | section |
| Regular sequence | related to Definitions | Given | 0.60 | section |
| Regular sequence | related to Definitions | R-module | 0.60 | section |
| Regular sequence | related to Definitions | An M-regular | 0.60 | section |
| Regular sequence | related to Definitions | Some | 0.60 | section |
| Regular sequence | related to Definitions | Intuitively | 0.60 | section |
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