KOSZULITY OF ALGEBRAS WITH NONPURE RESOLUTIONS

被引:10
|
作者
Lu, Di-Ming [1 ]
Si, Jun-Ru [1 ]
机构
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
关键词
AS-regular algebra; N-Koszul algebra; Piecewise-Koszul algebra;
D O I
10.1080/00927870902855531
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We discuss certain homological properties of graded algebras whose trivial modules admit nonpure resolutions. Such algebras include both of Artin-Schelter regular algebras of types (12221) and (13431). Under certain conditions, a module with nonpure resolution is decomposed to form an extension by two modules with pure resolutions.
引用
收藏
页码:68 / 85
页数:18
相关论文
共 50 条
  • [1] Koszul property of a class of graded algebras with nonpure resolutions
    Jiafeng Lü
    Junling Zheng
    Frontiers of Mathematics in China, 2016, 11 : 985 - 1002
  • [2] Koszul property of a class of graded algebras with nonpure resolutions
    Lu, Jiafeng
    Zheng, Junling
    FRONTIERS OF MATHEMATICS IN CHINA, 2016, 11 (04) : 985 - 1002
  • [3] Koszulity for nonquadratic algebras
    Berger, R
    JOURNAL OF ALGEBRA, 2001, 239 (02) : 705 - 734
  • [4] NONPURE PIECEWISE-KOSZUL ALGEBRAS
    Lu, Jia-Feng
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2012, 43 (01): : 1 - 23
  • [5] Koszulity and the Hilbert series of preprojective algebras
    Etingof, Pavel
    Eu, Ching-Hwa
    MATHEMATICAL RESEARCH LETTERS, 2007, 14 (04) : 589 - 596
  • [6] Nonpure piecewise-Koszul algebras
    Lü J.-F.
    Indian Journal of Pure and Applied Mathematics, 2012, 43 (1) : 1 - 23
  • [7] NOTES ON NONPURE PIECEWISE-KOSZUL ALGEBRAS
    Lu, Jia-Feng
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2015, 46 (03): : 349 - 357
  • [8] Notes on nonpure piecewise-Koszul algebras
    Jia-Feng Lü
    Indian Journal of Pure and Applied Mathematics, 2015, 46 : 349 - 357
  • [9] Koszulity of splitting algebras associated with cell complexes
    Retakh, Vladimir
    Serconek, Shirlei
    Wilson, Robert Lee
    JOURNAL OF ALGEBRA, 2010, 323 (04) : 983 - 999
  • [10] Koszulity and Koszul modules of dual extension algebras
    Li, Huanhuan
    Xu, Yunge
    FRONTIERS OF MATHEMATICS IN CHINA, 2017, 12 (03) : 583 - 596