Gluing n-tilting and n-cotilting Subcategories

被引：4

作者：

Liu, Yu ^{[1
]}

Zhou, Panyue ^{[2
]}

机构：

[1] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Sichuan, Peoples R China

[2] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2023年 / 46卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Abelian categories; Recollements; n-tilting subcategories; n-cotilting subcategories; RECOLLEMENTS; MODULES; PAIRS;

D O I：

10.1007/s40840-022-01429-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a recollement (A, B, C) of abelian categories, we show that n-tilting (resp. n-cotilting) subcategories in A and C can be glued to get n-tilting (resp. n-cotilting) subcategories in B under certain conditions.

引用

页数：20

共 22 条

[1]

Adachi T., 2021, ARXIV

[2]

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

[3]

Beilinson A., 1981, ASTERISQUE, V100, P1982

[4]

Beligiannis A, 2007, MEM AM MATH SOC, V188, P1

[5]

Brenner S., 1980, SPRINGER LECT NOTES, V832, P103

[6] COTORSION PAIRS IN A RECOLLEMENT OF TRIANGULATED CATEGORIES [J].

Chen, Jianmin .

COMMUNICATIONS IN ALGEBRA, 2013, 41 (08) :2903-2915

[7]

Franjou V., 2004, Doc. Math., V9, P41

[8]

Gobel R, 2006, DEGRUYTER EXPOS MATH, V41, P1, DOI 10.1515/9783110199727

[9] TILTED ALGEBRAS [J].

HAPPEL, D ;

RINGEL, CM .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 274 (02) :399-443

[10]

Liu Y, 2021, Arxiv, DOI arXiv:2108.07964

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