Homological Properties of Modules with Finite Weak Injective and Weak Flat Dimensions

被引：8
|
作者：
Zhao, Tiwei [1 ]
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2018年 / 41卷 / 02期
关键词：
Weak injective module; Weak flat module; Weak derived functor; Weak injective cover; Weak injective envelope; ABSOLUTELY PURE MODULES; PROJECTIVE DIMENSIONS; COHERENT RINGS; COVERS; ENVELOPES;
D O I：
10.1007/s40840-016-0365-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we define a class of relative derived functors in terms of left or right weak flat resolutions to compute the weak flat dimension of modules. Moreover, we investigate two classes of modules larger than those of weak injective and weak flat modules, study the existence of covers and preenvelopes, and give some applications.
引用
收藏
页码：779 / 805
页数：27
相关论文
共 47 条
  • [11] Weak n-injective and weak n-fat modules
    Arunachalam, Umamaheswaran
    Raja, Saravanan
    Chelliah, Selvaraj
    Mani, Joseph Kennedy Annadevasahaya
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2022, 72 (03) : 913 - 925
  • [12] Weak n-injective and weak n-fat modules
    Umamaheswaran Arunachalam
    Saravanan Raja
    Selvaraj Chelliah
    Joseph Kennedy Annadevasahaya Mani
    Czechoslovak Mathematical Journal, 2022, 72 : 913 - 925
  • [13] RESOLUTIONS AND DIMENSIONS OF RELATIVE INJECTIVE MODULES AND RELATIVE FLAT MODULES
    Zeng, Yuedi
    Chen, Jianlong
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (01) : 11 - 24
  • [14] On weak-injective modules over integral domains
    Fuchs, Laszlo
    Lee, Sang Bum
    JOURNAL OF ALGEBRA, 2010, 323 (07) : 1872 - 1878
  • [15] M-Injective (Flat) and Strongly -Injective (Flat) Modules
    Ozen, Tahire
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2015, 12 (02) : 301 - 314
  • [16] IFP-FLAT MODULES AND IFP-INJECTIVE MODULES
    Lu Bo
    Liu Zhongkui
    COMMUNICATIONS IN ALGEBRA, 2012, 40 (02) : 361 - 374
  • [17] ω-Gorenstein injective modules and dimensions
    Zhu HaiYan
    Ding NanQing
    SCIENCE CHINA-MATHEMATICS, 2011, 54 (03) : 421 - 436
  • [18] DIVISIBLE ENVELOPES, P1-COVERS AND WEAK-INJECTIVE MODULES
    Bazzoni, Silvana
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2010, 9 (04) : 531 - 542
  • [19] IFP-FLAT DIMENSIONS AND IFP-INJECTIVE DIMENSIONS
    Lu Bo
    Liu Zhongkui
    ACTA MATHEMATICA SCIENTIA, 2012, 32 (06) : 2085 - 2095
  • [20] ON n-FI-INJECTIVE AND n-FI- FLAT MODULES
    Gao, Zenghui
    COMMUNICATIONS IN ALGEBRA, 2012, 40 (08) : 2757 - 2770
12345