Extremal rees Algebras
Resource type
Authors/contributors
- Hong, J. (Author)
- Simis, A. (Author)
- Vasconcelos, W.V. (Author)
Title
Extremal rees Algebras
Abstract
We study almost complete intersection ideals whose Rees algebras are extremal in the sense that some of their fundamental metrics depth or relation type have maximal or minimal values in the class. The focus is on those ideals that lead to almost Cohen-Macaulay algebras, and our treatment is wholly concentrated on the nonlinear relations of the algebras. Several classes of such algebras are presented, some of a combinatorial origin. We offer a different prism to look at these questions with accompanying techniques. The main results are effective methods to calculate the invariants of these algebras. © 2013 Rocky Mountain Mathematics Consortium.
Publication
Journal of Commutative Algebra
Date
2013
Volume
5
Issue
2
Pages
231-267
Journal Abbr
J. Commutative Algebra
Citation Key
hongExtremalReesAlgebras2013
ISSN
19390807 (ISSN)
Archive
Scopus
Language
English
Extra
6 citations (Crossref) [2023-10-31]
Citation
Hong, J., Simis, A., & Vasconcelos, W. V. (2013). Extremal rees Algebras. Journal of Commutative Algebra, 5(2), 231–267. Scopus. https://doi.org/10.1216/JCA-2013-5-2-231
Link to this record