(p,\l)-Koszul algebras and modules, II

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.

Anahtar Kelimeler:

(p, l)-Koszul algebras and modules, minimal Horseshoe Lemma

(p, λ)-Koszul algebras and modules, II

Keywords:

(p, l)-Koszul algebras and modules, minimal Horseshoe Lemma,

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