Some dimensions of DG polynomial algebras

被引：0
作者：
Mao, X-F [1 ]
Zhang, M-Y [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2020年 / 48卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Phrases; DG polynomial algebra; Krull dimension; global dimension; ghost dimension; Rouquier dimension; GHOST LENGTH; CONE LENGTH; HOMOLOGY; MODULES; LEVEL;
D O I：
10.1080/00927872.2019.1710521
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Assume that is a cochain DG polynomial algebra such that its underlying graded algebra is a polynomial algebra generated by n degree one elements. We determine the DG Krull dimension, the global dimension, the ghost dimension, and the Rouquier dimension of A.
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收藏
页码：2196 / 2206
页数：11
相关论文
共 23 条
  • [1] ANDRZEJEWSKI W, 1994, FUND MATH, V145, P181
  • [2] Class and rank of differential modules
    Avramov, Luchezar L.
    Buchweitz, Ragnar-Olaf
    Iyengar, Srikanth
    [J]. INVENTIONES MATHEMATICAE, 2007, 169 (01) : 1 - 35
  • [3] Homology of perfect complexes
    Avramov, Luchezar L.
    Buchweitz, Ragnar-Olaf
    Iyengar, Srikanth B.
    Miller, Claudia
    [J]. ADVANCES IN MATHEMATICS, 2010, 223 (05) : 1731 - 1781
  • [4] Krull dimension for differential graded algebras
    Beck, Kristen A.
    Sather-Wagstaff, Sean
    [J]. ARCHIV DER MATHEMATIK, 2013, 101 (02) : 111 - 119
  • [5] BEILINSON AA, 1982, ASTERISQUE, P7
  • [6] Bondal A, 2003, MOSC MATH J, V3, P1
  • [7] ON THE HOMOLOGY OF FINITE FREE (Z/2)N-COMPLEXES
    CARLSSON, G
    [J]. INVENTIONES MATHEMATICAE, 1983, 74 (01) : 139 - 147
  • [8] Ideals in triangulated categories: Phantoms, ghosts and skeleta
    Christensen, JD
    [J]. ADVANCES IN MATHEMATICS, 1998, 136 (02) : 284 - 339
  • [9] DG algebras with exterior homology
    Dwyer, W. G.
    Greenlees, J. P. C.
    Iyengar, S. B.
    [J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2013, 45 : 1235 - 1245
  • [10] Felix Y., 2000, Graduate Texts in Mathematics, V205
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