New criteria for λ-Koszul algebras
作者： Pei-Sen Chen , Jia-Feng Lü
DOI: 10.1007/S13226-011-0010-Z
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摘要: The main purpose of this paper is to provide some new criteria for a standard graded algebra A = ⊕i≥0Ai be λ-Koszul algebra, which was first introduced in [12] and another class “Koszul-type” algebras including Koszul d-Koszul as special examples.
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Alexander Beilinson, Victor Ginzburg, Wolfgang Soergel, Koszul Duality Patterns in Representation Theory Journal of the American Mathematical Society. ,vol. 9, pp. 473- 527 ,(1996) , 10.1090/S0894-0347-96-00192-0
Sheila Brenner, Michael C. R. Butler, Alastair D. King, Periodic Algebras which are Almost Koszul Algebras and Representation Theory. ,vol. 5, pp. 331- 368 ,(2002) , 10.1023/A:1020146502185
Ji-Wei He, Di-Ming Lu, Higher Koszul algebras and A-infinity algebras Journal of Algebra. ,vol. 293, pp. 335- 362 ,(2005) , 10.1016/J.JALGEBRA.2005.05.025
Jia-Feng Lü, Zhi-Bing Zhao, (p, λ)-Koszul algebras and modules Indian Journal of Pure & Applied Mathematics. ,vol. 41, pp. 443- 473 ,(2010) , 10.1007/S13226-010-0027-8
Michael Artin, William F Schelter, Graded algebras of global dimension 3 Advances in Mathematics. ,vol. 66, pp. 171- 216 ,(1987) , 10.1016/0001-8708(87)90034-X
E.L. Green, E.N. Marcos, R. Martı́nez-Villa, Pu Zhang, D-Koszul algebras Journal of Pure and Applied Algebra. ,vol. 193, pp. 141- 162 ,(2004) , 10.1016/J.JPAA.2004.03.012
Roland Berger, Koszulity for Nonquadratic Algebras Journal of Algebra. ,vol. 239, pp. 705- 734 ,(2001) , 10.1006/JABR.2000.8703
Thomas Cassidy, Brad Shelton, Generalizing the notion of Koszul algebra Mathematische Zeitschrift. ,vol. 260, pp. 93- 114 ,(2008) , 10.1007/S00209-007-0263-8
Edward L. Green, Eduardo N. Marcos, δ-Koszul Algebras Communications in Algebra. ,vol. 33, pp. 1753- 1764 ,(2005) , 10.1081/AGB-200061501
Jiafeng Lü, Zhibing Zhao, Quasi-d-Koszul modules and applications Chinese Annals of Mathematics, Series B. ,vol. 31, pp. 481- 490 ,(2010) , 10.1007/S11401-010-0592-5