Dimension and level of triangulated categories

被引：0

作者：

Yang, Xiaoyan ^{[1
]}

Shen, Jingwen ^{[1
]}

机构：

[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2021年 / 20卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Triangulated category; dimension; level;

D O I：

10.1142/S021949882150122X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the bounded derived category of an abelian category, bounds of the dimension with respect to a complete hereditary cotorsion pair are given. We also characterize levels of DG-modules and study how levels involved in a recollement of derived categories over DG-rings are related.

引用

页数：14

共 13 条

[1] GENERATORS AND DIMENSIONS OF DERIVED CATEGORIES OF MODULES [J].

Aihara, Takuma ;

Takahashi, Ryo .

COMMUNICATIONS IN ALGEBRA, 2015, 43 (11) :5003-5029

[2] Dimensions of triangulated categories with respect to subcategories [J].

Aihara, Takuma ;

Araya, Tokuji ;

Iyama, Osamu ;

Takahashi, Ryo ;

Yoshiwaki, Michio .

JOURNAL OF ALGEBRA, 2014, 399 :205-219

[3]

Angeleri Hugel L, 2006, FORUM MATH, V18, P211

[4] Homology of perfect complexes [J].

Avramov, Luchezar L. ;

Buchweitz, Ragnar-Olaf ;

Iyengar, Srikanth B. ;

Miller, Claudia .

ADVANCES IN MATHEMATICS, 2010, 223 (05) :1731-1781

[5]

Bondal A, 2003, MOSC MATH J, V3, P1

[6] Ideals in triangulated categories: Phantoms, ghosts and skeleta [J].

Christensen, JD .

ADVANCES IN MATHEMATICS, 1998, 136 (02) :284-339

[7] THE FLAT DIMENSIONS OF INJECTIVE-MODULES [J].

DING, NQ ;

CHEN, JL .

MANUSCRIPTA MATHEMATICA, 1993, 78 (02) :165-177

[8]

Enochs E.E., 2000, Relative homological algebra, V30

[9]

Krause H, 2006, CONTEMP MATH, V406, P95

[10] DERIVED EQUIVALENCES OF UPPER TRIANGULAR DIFFERENTIAL GRADED ALGEBRAS [J].

Maycock, Daniel .

COMMUNICATIONS IN ALGEBRA, 2011, 39 (07) :2367-2387

← 1 2 →