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

强Ω-Gorenstein平坦模 被引量：1

Strongly Ω-Gorenstein Flat Modules
原文传递
导出
摘要 引入强Ω-Gorenstein平坦模的概念,证明了强Ω-Gorenstein平坦模的直和是强Ω-Gorenstein平坦模.还研究了强Ω-Gorenstein平坦模的若干性质及其与强Ω-Gorenstein投射模之间的关系. The paper is to give the definition of strongly Ω-Gorenstein flat module, prove that the direct of strongly Ω-Gorenstein flat module is a strongly Ω-Gorenstein flat module, study some properties of strongly Ω-Gorenstein flat modules and the relations between strongly Ω-Gorenstein fiat module and strongly Ω-Gorenstein projective module.
作者 王欣欣
机构地区 陇东学院数学与统计学院
出处 《数学的实践与认识》 北大核心 2015年第3期250-254,共5页 Mathematics in Practice and Theory
基金 陇东学院青年科技创新项目(XYZK1207) 国家自然科学基金(71161061)
关键词 强Gorenstein平坦模 Ω-Gorenstein平坦模 强Ω-Gorenstein平坦模 strongly Gorenstein fiat modules Ω-Gorenstein flat modules strongly Ω-Gorensteinfiat modules
分类号 O153.3 [理学—基础数学]
  • 相关文献

参考文献8

  • 1Enochs E E, Jenda O M G. On Gorenstein injective modules [J]. Comm Algebra, 1993, 21: 3489- 3501.
  • 2Enochs E E, Jenda O M G. Gorenstein injective and projective modules [J]. Math Z, 1995, 220: 611-633.
  • 3Bennis D, Mahdou N. Strongly Gorensteon projective, injective and fiat modules[J]. J pure Appl Algebra, 2007, 210: 437-445.
  • 4Yang X Y, Liu Z K. Strongly Gorensteon projective, injective and flat modules[J]. J Algebra, 2008, 320: 2659-2674.
  • 5Enochs E E, Jenda O M G, Xu J Z. Foxby duality and Gorenstein injective and projective modules [J]. Trans Amer Math soc, 1996, 384: 3223-3234.
  • 6Enochs E E, Jenda O M G. Relative Homological Algebra[M]. de Gruyter Expositions in Mathe- matics, Vol 30, Berlin.New York: Walter de Gruyter, 2000.
  • 7Enochs E E, Jenda O M G. Ω-Gorenstein Projective and Flat covers and Ω-Gorenstein injective envelopes[J]. Comm Algebra, 2004, 32: 1453-1470.
  • 8王利民,王欣欣,俱鹏岳.强Ω-Gorenstein投射模[J].兰州理工大学学报,2010,36(5):154-157. 被引量：6

二级参考文献8

  • 1ENOCHS E E, JENDA O M G. On Gorenstein injective modules[J]. Comm Algebra, 1993,21: 3489-3501.
  • 2ENOCHS E E,JIgNDA O M G. Gorenstein injeetive and projective modules [J]. Math Z, 1995,220 : 611-633.
  • 3BENNIS D,MAHDOU N. Strongly Gorensteon projective,injective and flat modules [J]. J pure Appl Algebra, 2007,210: 437-415.
  • 4YANG X Y, LIU Z K. Strongly Gorensteon projective, injective and flat modules [J]. J Algebra, 2008,320 : 2659-2674.
  • 5ENOCHS E E, JENDA O M G, XU J. Foxby duality and Gorenstein injective and projective modules [J]. Trans Amer Math Soc, 1996,384 : 3223-3234.
  • 6ENOCHS E E,JENDA O M G. Relative homological algebra [M]. Berlin· New York:Walter De Gruyter,2000.
  • 7ENOCHS E E, JENDA O M G. Ω-Gorenstein projective and flat covers and Ω-Gorenstein injective envelopes[J]. Comm Algebra,2004,32: 1453-1470.
  • 8HOLM H. Gorenstein homologieal dimensions [J]. J pure Appl Algebra,2004,189: 167-193.

共引文献5

同被引文献3

  • 1Edgar E. Enochs,Overtoun M.G. Jenda.$\Omega$-Gorenstein projective and flat covers and $\Omega$-Gorenstein injective envelopes. Communications in Algebra . 2004
  • 2Edgar Enochs.??Flat covers and flat cotorsion modules(J)proc . 1984 (2)
  • 3Edgar E. Enochs,Overtoun M.G. Jenda.??On gorenstein injective modules(J)Communications in Algebra . 1993 (10)

引证文献1

数学的实践与认识
2015年 第3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