V-GORENSTEIN PROJECTIVE, INJECTIVE AND FLAT MODULES

被引：4
作者：
Yang, Xiaoyan [1 ]
Liu, Zhongkui [1 ]
机构：
[1] Northwest Normal Univ, Dept Math, Lanzhou, Peoples R China
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2012年 / 42卷 / 06期
基金：
中国国家自然科学基金;
关键词：
V-Gorenstein projective module; V-Gorenstein injective module; V-Gorenstein flat module; dualizing module; COVERS;
D O I：
10.1216/RMJ-2012-42-6-2075
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study some properties of V-Gorenstein projective, injective and flat modules. By analogy with the projective, injective and flat modules, we consider some properties and connections of V-Gorenstein projective, injective and flat modules.
引用
收藏
页码：2075 / 2098
页数：24
相关论文
共 15 条
  • [1] Auslander M, 1969, MEM AM MATH SOC, V94, P92
  • [2] Strongly Gorenstein projective, injective, and flat modules
    Bennis, Driss
    Mahdou, Najib
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2007, 210 (02) : 437 - 445
  • [3] All modules have flat covers
    Bican, L
    El Bashir, R
    Enochs, E
    [J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2001, 33 : 385 - 390
  • [4] Coherent rings with finite self-FP-injective dimension
    Ding, NQ
    Chen, JL
    [J]. COMMUNICATIONS IN ALGEBRA, 1996, 24 (09) : 2963 - 2980
  • [5] Enochs E., 2005, INT J MATH MATH SCI, P1473
  • [6] Enochs E. E., 2000, DEGRUYTER EXPOSITION, V30
  • [7] Enochs EE, 2002, REND SEM MAT UNIV P, V107, P67
  • [8] Covers and envelopes by V-Gorenstein modules
    Enochs, EE
    Jenda, OMG
    López-Ramos, JA
    [J]. COMMUNICATIONS IN ALGEBRA, 2005, 33 (12) : 4705 - 4717
  • [9] Dualizing modules and n-perfect rings
    Enochs, EE
    Jenda, OMG
    López-Ramos, JA
    [J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2005, 48 : 75 - 90
  • [10] Ω-Gorenstein projective and flat covers and Ω-Gorenstein injective envelopes
    Enochs, EE
    Jenda, OMG
    [J]. COMMUNICATIONS IN ALGEBRA, 2004, 32 (04) : 1453 - 1470
12