Autor:	Miller, Claudia, Rahmati, Hamidreza, Striuli, Janet
Rok vydání:	2011
Předmět:	Mathematics - Commutative Algebra 13D02 13D03 (Primary) 18G40 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We study Koszul homology over Gorenstein rings. If an ideal is strongly Cohen-Macaulay, the Koszul homology algebra satisfies Poincar\'e duality. We prove a version of this duality which holds for all ideals and allows us to give two criteria for an ideal to be strongly Cohen-Macaulay. The first can be compared to a result of Hartshorne and Ogus; the second is a generalization of a result of Herzog, Simis, and Vasconcelos using sliding depth.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1112.3064 Zobrazit plný text záznamu View this record from Arxiv