KARAKUŞ, ALI and OLGUN, NECATI and SAHIN, MEHMET (2017) NOTE ON BETTI SERIES OF THE UNIVERSAL MODULES OF N-TH ORDER DERIVATIONS. Asian Journal of Mathematics and Computer Research, 17 (3). pp. 155-161.
Full text not available from this repository.Abstract
LetRbe the coordinate ring of an affine irreducible curve serviced byR=k[a1,a2,...,ak](g)andωis amaximal ideal ofR. Assume that,Rωthe localization ofRatωis not a regular ring. Let Ωn(Rω)be the universal module ofn-th order derivations ofRω. We show thatB(Ωn(Rω),t) the Bettiseries of Ωn(Rω),is a rational function under some conditions. To conclude give examples relatedtoB(Ωn(Rω),t) for various ringsR.
| Item Type: | Article |
|---|---|
| Subjects: | STM Repository > Mathematical Science |
| Depositing User: | Managing Editor |
| Date Deposited: | 12 Jan 2024 07:03 |
| Last Modified: | 12 Jan 2024 07:03 |
| URI: | http://classical.goforpromo.com/id/eprint/4894 |
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