Geodesic
$(a,b,c)$-Koszul Algebras
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 2 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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Given fixed integers $a,\;b$ and $c$ with $a>c>b>1$, the notion of {\it $(a,b,c)$-Koszul algebra} is introduced, which is another extension of Koszul algebras and includes some Artin-Schelter regular algebras of global dimension five as special examples. Some criteria for a standard graded algebra to be $(a,b,c)$-Koszul are given. Further, the Yoneda algebras and the $H$-Galois graded extensions of $(a,b,c)$-Koszul algebras are discussed, where $H$ is a finite dimensional semisimple and cosemisimple Hopf algebra. Moreover, the so-called {\it (generalized) $(a,b,c)$-Koszul modules} are introduced and some basic properties are also provided.
Classification : Primary 16S37, 16W50; Secondary 16E30, 16E40 
@article{BMMS_2013_36_2_a17,
     author = {Jia-Feng L\"u},
     title = {$(a,b,c)${-Koszul} {Algebras}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2013},
     volume = {36},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_2_a17/}
}
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%A Jia-Feng Lü
%T $(a,b,c)$-Koszul Algebras
%J Bulletin of the Malaysian Mathematical Society
%D 2013
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Jia-Feng Lü. $(a,b,c)$-Koszul Algebras. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2013_36_2_a17/