Dergiler / Turkish Journal of Mathematics / 2013 / Cilt: 37 - Sayı: 2
(p,\l)-Koszul algebras and modules, II
- Sayfa
- 244–258
- DOI
- —
Özet
This paper is a continuous work of [14], where the notions of (p,l)-Koszul algebra and (p,l)-Koszul module were first introduced. More precisely, some new criteria for a positively graded algebra to be (p,l)-Koszul are provided. We also generalize (p,l)-Koszul objects to the nongraded case and define the so-called quasi-(p,l)-Koszul objects. Further, the relationships between (quasi-) (p,l)-Koszul modules and minimal Horseshoe Lemma are established.
Abstract
This paper is a continuous work of [14], where the notions of (p,l)-Koszul algebra and (p,l)-Koszul module were first introduced. More precisely, some new criteria for a positively graded algebra to be (p,l)-Koszul are provided. We also generalize (p,l)-Koszul objects to the nongraded case and define the so-called quasi-(p,l)-Koszul objects. Further, the relationships between (quasi-) (p,l)-Koszul modules and minimal Horseshoe Lemma are established.