Buchsbaumness in Rees Modules Associated to Ideals of Minimal Multiplicity in the Equi-I-Invariant Case

✍ Scribed by Kikumichi Yamagishi

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 281 KB
• Volume: 251
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.2002.9141

✦ Synopsis

The present article gives certain conditions for Rees modules to obtain Buchsbaumness. Suppose a given -primary ideal is of minimal multiplicity in the equi-I-invariant case. Then it is shown that the positively graded submodule of the Rees module must be Buchsbaum and moreover that the Rees module itself is also Buchsbaum if the dimension of a given module is greater than one.  2002 Elsevier Science (USA)