期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

Gorenstein Projective Dimensions of Complexes 被引量：7

Gorenstein Projective Dimensions of Complexes
原文传递
导出
摘要 We show that over a right coherent left perfect ring R, a complex C of left R-modules is Gorenstein projective if and only if C^m is Gorenstein projective in R-Mod for all m E Z. Basing on this we show that if R is a right coherent left perfect ring then Gpd（C） = sup{Gpd（C^m）｜m ∈ Z} where Gpd（-） denotes Gorenstein projective dimension. We show that over a right coherent left perfect ring R, a complex C of left R-modules is Gorenstein projective if and only if C^m is Gorenstein projective in R-Mod for all m E Z. Basing on this we show that if R is a right coherent left perfect ring then Gpd（C） = sup{Gpd（C^m）｜m ∈ Z} where Gpd（-） denotes Gorenstein projective dimension.
作者 Zhong Kui LIU Chun Xia ZHANG
机构地区 Department of Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2011年第7期1395-1404,共10页 数学学报（英文版）
基金 Supported by National＇ Natural Science Foundation of China （Grant No. 10961021）, TRAPOYT and the Cultivation Fund of the Key Scientific and Technical Innovation Project, Ministry of Education of China
关键词 Gorenstein projective complex Gorenstein projective module Gorenstein projective dimension projective preenvelope Gorenstein projective complex, Gorenstein projective module, Gorenstein projective dimension, projective preenvelope
分类号 O641.4 [理学—物理化学] O484 [理学—固体物理]
  • 相关文献

参考文献14

  • 1Garcia Rozas, J. R.: Covers and Envelopes in the Category of Complexes of Modules, CRC Press, Boca Raton, 1999.
  • 2Enochs, E. E., Garcia Rozas, J. R.: Gorenstein injective and projective complexes. Comm. Algebra, 26, 1657-1674 (1998).
  • 3Enochs, E. E.: Injective and flat covers, envelopes and resolvents. Israel J. Math., 39, 189-209 (1981).
  • 4Aldrich, S. T., Enochs, E. E., Garcia Rozas, J. R., Oyonarte, L.: Covers and envelopes in Grothendieck categories: flat covers of complexes with applications. J. Algebra, 243, 615-630 (2001).
  • 5Enochs, E. E., Carcia Rozas, J. R.: Flat covers of complexes. J. Algebra, 210, 86-102 (1998).
  • 6Enochs, E. E., Jeuda, O. M. G.: Gorenstein and Ω-Gorenstein injective covers and flat preenvelopes. Comm. Algebra, 33, 507-518 (2005).
  • 7Enochs, E. E., Jenda, O. M. G., Lopez-Ramos, J. A.: Dualizing modules and n-perfect rings. Proceedings of the Edinburgh Mathematical Society, 48, 75-90 (2005).
  • 8Iacob, A.: Direct sums of exact covers of complexes. Math. Scand., 98, 161-181 (2006).
  • 9Enochs, E. E., Jenda, O. M. G., Xu, J. Z.: Orthogonality in the category of complexes. Math. J. Okayama Univ., 38, 25-46 (1996).
  • 10Holm, H.: Gorenstein homological dimensions. J. Pure Appl. Algebra, 189, 167-193 (2004).

同被引文献2

引证文献7

二级引证文献22

Acta Mathematica Sinica,English Series
2011年 第7期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部