Back to Search
Start Over
Gorensteinness in Rees algebras of powers of parameter ideals.
- Source :
-
Journal of Algebra . Oct2023, Vol. 632, p487-519. 33p. - Publication Year :
- 2023
-
Abstract
- This paper gives a necessary and sufficient condition for Gorensteinness in Rees algebras of the d th power of parameter ideals in certain Noetherian local rings of dimension d ≥ 2. The main result of this paper produces many Gorenstein Rees algebras over non-Cohen-Macaulay local rings. For example, the Rees algebra R (q d) = ⊕ i ≥ 0 q d i is Gorenstein for every parameter ideal q that is a reduction of the maximal ideal in a d -dimensional Buchsbaum local ring of depth 1 and multiplicity 2. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 632
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 164865604
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2023.05.030