Open Access(p,\\lambda)-Koszul algebras and modules, II
Author(s) -
Jiafeng Lü
Publication year - 2013
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1009-41
Subject(s) - mathematics , lambda , lemma (botany) , algebra over a field , pure mathematics , physics , ecology , poaceae , biology , optics
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.
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