Constantinescu, Alexandru. (2008) Hilbert Function and Betti Numbers of Algebras with Lefschetz Property of Order m. Communications in algebra, 36 (12). pp. 4704-4720.
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Abstract
The authors T.Harima, J.C.Migliore, U.Nagel and J.Watanabe characterize the Hilbert function of algebras with the Lefschetz property. We extend this characterization to algebras with the Lefschetz property m times. We also give upper bounds for the Betti numbers of Artinian algebras with a given Hilbert function and with the Lefschetz property m times and describe the cases in which these bounds are reached
| Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Algebra (Gorla) |
|---|---|
| UniBasel Contributors: | Constantinescu, Alexandru |
| Item Type: | Article, refereed |
| Article Subtype: | Research Article |
| Publisher: | Taylor & Francis |
| ISSN: | 0092-7872 |
| e-ISSN: | 1532-4125 |
| Note: | Publication type according to Uni Basel Research Database: Journal article |
| Language: | English |
| Identification Number: | |
| edoc DOI: | |
| Last Modified: | 12 Jan 2017 10:25 |
| Deposited On: | 12 Jan 2017 10:25 |
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