Kunz, Ernst (2001) The differential Hilbert series of a local algebra. ARCHIV DER MATHEMATIK, 76 (4). pp. 274-282. ISSN 0003-889X
Full text not available from this repository.Abstract
The differential Hilbert series of a commutative local algebra R/R-0 which is essentially of finite type is the generating function of the numerical function which associates with each n is an element of N the minimal number of generators of the algebra P-R/R0(n) of principal parts of order n, considered as an R-module. It can be expressed as a rational function over the integers. We wish to compute this rational function in terms of other invariants of the local algebra or at least give estimates of it. We obtain formulas which generalize wellknown facts about the minimal number of generators of the module of Kahler differentials.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 02 Feb 2022 12:54 |
| Last Modified: | 02 Feb 2022 12:54 |
| URI: | https://pred.uni-regensburg.de/id/eprint/41507 |
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