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Turkish Journal of Mathematics

Authors

JIAFENG LU

DOI

10.3906/mat-1009-41

Abstract

This paper is a continuous work of [14], where the notions of (p,\lambda)-Koszul algebra and (p,\lambda)-Koszul module were first introduced. More precisely, some new criteria for a positively graded algebra to be (p,\lambda)-Koszul are provided. We also generalize (p,\lambda)-Koszul objects to the nongraded case and define the so-called quasi-(p,\lambda)-Koszul objects. Further, the relationships between (quasi-) (p,\lambda)-Koszul modules and minimal Horseshoe Lemma are established.

Keywords

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

First Page

244

Last Page

258

Included in

Mathematics Commons

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