Güntürkün, Sema and Nagel, Uwe (2014) Constructing homogeneous Gorenstein ideals. Journal of Algebra, 401. pp. 107-124. DOI https://doi.org/10.1016/j.jalgebra.2013.11.015
Güntürkün, Sema and Nagel, Uwe (2014) Constructing homogeneous Gorenstein ideals. Journal of Algebra, 401. pp. 107-124. DOI https://doi.org/10.1016/j.jalgebra.2013.11.015
Güntürkün, Sema and Nagel, Uwe (2014) Constructing homogeneous Gorenstein ideals. Journal of Algebra, 401. pp. 107-124. DOI https://doi.org/10.1016/j.jalgebra.2013.11.015
Abstract
In 1983 Kustin and Miller introduced a construction of Gorenstein ideals in local Gorenstein rings, starting from smaller such ideals. We review and modify their construction in the case of graded rings and discuss it within the framework of Gorenstein liaison theory. We determine invariants of the constructed ideal. Concerning the problem of when a given Gorenstein ideal can be obtained by the construction, we derive a necessary condition and exhibit a Gorenstein ideal that cannot be obtained using the construction.
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
| SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
| Depositing User: | Unnamed user with email elements@essex.ac.uk |
| Date Deposited: | 09 Oct 2023 09:09 |
| Last Modified: | 09 Oct 2023 09:09 |
| URI: | http://repository.essex.ac.uk/id/eprint/34006 |
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