Generalized Koszul resolutions
Commutative Algebra
2011-04-22 v1
Abstract
The main objective of this paper is to generalize a notion of Koszul resolutions and charcterizing modules which admits such a resolution. We turn out that for a noetherian ring and a coherent module , has a two dimensional generalized Koszul resolution if and only if is a pure weight two module in the sense of \cite{HM09}.
Keywords
Cite
@article{arxiv.1104.4242,
title = {Generalized Koszul resolutions},
author = {Satoshi Mochizuki and Akiyoshi Sannai},
journal= {arXiv preprint arXiv:1104.4242},
year = {2011}
}
Comments
14 pages