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Free derivation modules and a criterion for regularity
| Content Provider | Semantic Scholar |
|---|---|
| Author | Moen, Selmer Orlean |
| Copyright Year | 1973 |
| Abstract | Let k be an algebraically closed field of characteristic zero, R an affine k-algebra. We prove that if the ideal of the variety of R can be generated by an S-sequence of forms in a polynomial ring S, and if the module of k-derivations of R into itself is a free R module, then R is regular. |
| Starting Page | 221 |
| Ending Page | 227 |
| Page Count | 7 |
| File Format | PDF HTM / HTML |
| DOI | 10.1090/S0002-9939-1973-0313239-4 |
| Volume Number | 39 |
| Alternate Webpage(s) | https://www.ams.org/journals/proc/1973-039-02/S0002-9939-1973-0313239-4/S0002-9939-1973-0313239-4.pdf |
| Alternate Webpage(s) | http://www.ams.org/journals/proc/1973-039-02/S0002-9939-1973-0313239-4/S0002-9939-1973-0313239-4.pdf |
| Alternate Webpage(s) | https://doi.org/10.1090/S0002-9939-1973-0313239-4 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |