dc.contributor.author | Aberbach, Ian M. | eng |
dc.contributor.author | Ghezzi, Laura | eng |
dc.contributor.author | Ha, Huy Tai | eng |
dc.date.issued | 2005 | eng |
dc.description | This is a preprint of an article published in the Pacific Journal of Math., 226 (2006), 1-39. | eng |
dc.description.abstract | 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. | eng |
dc.identifier.uri | http://hdl.handle.net/10355/10606 | eng |
dc.relation.ispartof | Mathematics publications (MU) | eng |
dc.relation.ispartofcommunity | University of Missouri-Columbia. College of Arts and Sciences. Department of Mathematics | eng |
dc.source.uri | http://www.math.missouri.edu/~aberbach/preprints/index.html | eng |
dc.subject | uniform behavior | eng |
dc.subject.lcsh | Noetherian rings | eng |
dc.subject.lcsh | Cohen-Macaulay rings | eng |
dc.title | Homology multipliers and the relation type of parameter ideals | eng |
dc.type | Article | eng |