Homology multipliers and the relation type of parameter ideals
| dc.creator | Aberbach, Ian M. | |
| dc.creator | Ghezzi, Laura | |
| dc.creator | Ha, Huy Tai | |
| dc.date | 2005-01-26 | |
| dc.date.accessioned | 2026-07-07T05:16:26Z | |
| dc.date.available | 2026-07-07T05:16:26Z | |
| dc.description | We study the relation type question, raised by C. Huneke, which asks whether for a complete equidimensional local ring R there exists a uniform bound for the relation type of parameter ideals. Wang gave a positive answer to this question when the non-Cohen-Macaulay locus of R, denoted by NCM(R), has dimension zero. We first present an example, due to the first author, which gives a negative answer to the question when dim NCM(R) is at least 2. The major part of our work then is to investigate the remaining case, i.e., when dim NCM(R) = 1. We introduce the notion of homology multipliers and show that the question has a positive answer when R/A(R) is a domain, where A(R) is the ideal generated by all homology multipliers in R. In a more general context, we also discuss many interesting properties of homology multipliers. | |
| dc.description | To appear in Pacific J. Math. 35 pages | |
| dc.identifier | https://arxiv.org/abs/math/0501477 | |
| dc.identifier | http://arxiv.org/abs/math/0501477 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73989 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 13A30; 13E15; 13H10 | |
| dc.title | Homology multipliers and the relation type of parameter ideals | |
| dc.type | text |