Quasi-d-Koszul modules and applications

• DOI: 10.1007/s11401-010-0592-5
• Publication Date: 2010-06-22T11:20:43Z
• Authors: Jiafeng Lü; Zhibing Zhao
• Keywords: Lemma (botany)

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.