Quasi-Koszulity and minimal Horseshoe Lemma
  In this paper, the criteria for minimal Horseshoe Lemma to be true are given via quasi-$\delta$-Koszul modules, which are the nongraded version of $\delta$-Koszul modules first introduced by Green and Marcos in 2005. Moreover, some applications of minimal Horseshoe Lemma are also given. 
Jiafeng Lu
math.RA