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.
|Number of pages||18|
|Journal||Journal of Algebra|
|State||Published - Mar 1 2014|
Bibliographical noteFunding Information:
Part of the work for this paper was done while the second author was partially supported by the National Security Agency under Grant Number H98230-12-1-0247 .
- Elementary biliaison
- Free resolution
- Gorenstein ideal
ASJC Scopus subject areas
- Algebra and Number Theory