Notes on Relative Extension Functors

被引：0

作者：

QingBing, Xu ^{[1
]}

Liu, Yang ^{[2
]}

Munir, Mohammad ^{[3
]}

Youssefi, Ayoub ^{[4
]}

机构：

[1] Chuzhou Polytech Coll, Dept Basic Disciplines, Chuzhou 239000, Anhui, Peoples R China

[2] Chuzhou Univ, Sch Math & Finance, Chuzhou 239000, Anhui, Peoples R China

[3] Govt Postgrad Coll 1, Dept Math, Abbottabad 22010, Pakistan

[4] Sidi Mohamed Ben Abdellah Univ, Dept Math, Fes 30050, Morocco

来源：

JOURNAL OF MATHEMATICS | 2022年 / 2022卷

关键词：

CATEGORIES;

D O I：

10.1155/2022/5579976

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The objective of this paper is to study the relative homological properties of contravariantly and covariantly finite subcategories. Some sufficient conditions for Ext over bar YnA,B & SIME;Ext over bar XnA,B are obtained. We also give the conditions under which the stable categories C/W/X/W are one-side triangulated categories.

引用

页数：8

共 14 条

[1]

Assem I., 1998, CMS C P, P17

[2] APPLICATIONS OF CONTRAVARIANTLY FINITE SUBCATEGORIES [J].

AUSLANDER, M ;

REITEN, I .

ADVANCES IN MATHEMATICS, 1991, 86 (01) :111-152

[3] PREPROJECTIVE MODULES OVER ARTIN ALGEBRAS [J].

AUSLANDER, M ;

SMALO, SO .

JOURNAL OF ALGEBRA, 1980, 66 (01) :61-122

[4] The homological theory of contravariantly finite subcategories: Auslander-Buchweitz contexts, Gorenstein categories and (CO-)stabilization [J].

Beligiannis, A .

COMMUNICATIONS IN ALGEBRA, 2000, 28 (10) :4547-4596

[5] LEFT TRIANGULATED CATEGORIES ARISING FROM CONTRAVARIANTLY FINITE SUBCATEGORIES [J].

BELIGIANNIS, A ;

MARMARIDIS, N .

COMMUNICATIONS IN ALGEBRA, 1994, 22 (12) :5021-5036

[6] On characterizing pairs of nilpotent Lie algebras by their second relative homologies [J].

Edalatzadeh, Behrouz ;

Hosseini, Seyedeh Narges ;

Salemkar, Ali Reza .

JOURNAL OF ALGEBRA, 2020, 549 :112-127

[7]

KELLER B, 1987, CR ACAD SCI I-MATH, V305, P225

[8] The Left and Right Triangulated Structures of Stable Categories [J].

Li, Zhi-Wei .

COMMUNICATIONS IN ALGEBRA, 2015, 43 (09) :3725-3753

[9] Homology Theories and Gorenstein Dimensions for Complexes [J].

Liang, L. .

ALGEBRAS AND REPRESENTATION THEORY, 2021, 24 (06) :1459-1477

[10] Relative global dimensions and stable homotopy categories [J].

Liang, Li ;

Wang, Junpeng .

COMPTES RENDUS MATHEMATIQUE, 2020, 358 (03) :379-392

← 1 2 →