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

页码：779 / 805

页数：27

共 50 条

[11] Weak n-injective and weak n-fat modules [J].

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 [J].

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 [J].

Zeng, Yuedi ;

Chen, Jianlong .

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (01) :11-24

[14] Envelopes and Covers by Modules of Finite C-Injective and C-Flat Dimensions [J].

Zhu, Z. M. ;

Zeng, Y. D. .

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2025, 49 (04) :597-603

[15] On weak-injective modules over integral domains [J].

Fuchs, Laszlo ;

Lee, Sang Bum .

JOURNAL OF ALGEBRA, 2010, 323 (07) :1872-1878

[16] M-Injective (Flat) and Strongly -Injective (Flat) Modules [J].

Ozen, Tahire .

MEDITERRANEAN JOURNAL OF MATHEMATICS, 2015, 12 (02) :301-314

[17] IFP-FLAT MODULES AND IFP-INJECTIVE MODULES [J].

Lu Bo ;

Liu Zhongkui .

COMMUNICATIONS IN ALGEBRA, 2012, 40 (02) :361-374

[18] ω-Gorenstein injective modules and dimensions [J].

Zhu HaiYan ;

Ding NanQing .

SCIENCE CHINA-MATHEMATICS, 2011, 54 (03) :421-436

[19] DIVISIBLE ENVELOPES, P1-COVERS AND WEAK-INJECTIVE MODULES [J].

Bazzoni, Silvana .

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2010, 9 (04) :531-542

[20] IFP-FLAT DIMENSIONS AND IFP-INJECTIVE DIMENSIONS [J].

Lu Bo ;

Liu Zhongkui .

ACTA MATHEMATICA SCIENTIA, 2012, 32 (06) :2085-2095

← 1 2 3 4 5 →