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- Title
Quasi- d-Koszul modules and applications.
- Authors
Jiafeng LÜ; Zhibing ZHAO
- Abstract
Let R be a Noetherian semiperfect algebra. A necessary and sufficient condition for a finitely generated R-module to be quasi- d-Koszul is given, which improves one of the main results in [1]. The authors also give a necessary and sufficient condition for the Minimal Horseshoe Lemma holding in mod( R). As an application, it is proved that the “Minimal Horseshoe Lemma” is true in the category of quasi- d-Koszul modules under certain conditions.
- Subjects
ALGEBRA; MATHEMATICAL analysis; MATHEMATICS; KOSZUL algebras; ASSOCIATIVE algebras
- Publication
Chinese Annals of Mathematics, 2010, Vol 31, Issue 4, p481
- ISSN
0252-9599
- Publication type
Article
- DOI
10.1007/s11401-010-0592-5