STRATIFYING PAIRS OF SUBCATEGORIES FOR CPS-STRATIFIED ALGEBRAS

被引：0

作者：

Agoston, Istvan ^{[1
]}

Lukacs, Erzsebet ^{[2
]}

机构：

[1] Eotvos Lorand Univ, Dept Algebra & Number Theory, H-1518 Budapest, Hungary

[2] Budapest Univ Technol & Econ, Dept Algebra, H-1521 Budapest, Hungary

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2013年 / 12卷 / 04期

关键词：

Stratified algebra; filtered module; perpendicular category; cotorsion pair;

D O I：

10.1142/S0219498812502015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two special types of module subcategories are defined over stratified algebras of Cline, Parshall and Scott. We show that for every stratified algebra there exists a (not necessarily unique) cotorsion pair of subcategories which describe to a large extent the stratification structure of the algebra. These subcategories generalize the notion of modules with standard and costandard filtration for standardly stratified and quasi-hereditary algebras.

引用

页数：12

共 11 条

[1] CONSTRUCTION OF CPS-STRATIFIED ALGEBRAS
Agoston, Istvan
Lukacs, Erzsebet
COMMUNICATIONS IN ALGEBRA, 2013, 41 (07) : 2614 - 2628
[2] KOSZUL DUALITY FOR STRATIFIED ALGEBRAS II. STANDARDLY STRATIFIED ALGEBRAS
Mazorchuk, Volodymyr
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2010, 89 (01) : 23 - 49
[3] Stratifying endomorphism algebras using exact categories
Du, Jie
Parshall, Brian J.
Scott, Leonard L.
JOURNAL OF ALGEBRA, 2017, 475 : 229 - 250
[4] CONSTRUCTIONS OF STRATIFIED ALGEBRAS
Istvan Agoston
Dlab, Vlastimil
Erzsebet Lukacs
COMMUNICATIONS IN ALGEBRA, 2011, 39 (07) : 2545 - 2553
[5] Standardly stratified extension algebras
Agoston, I
Dlab, V
Lukács, E
COMMUNICATIONS IN ALGEBRA, 2005, 33 (05) : 1357 - 1368
[6] Compactly generated triangulated subcategories of homotopy categories induced by cotorsion pairs
Chen, Wenjing
Liu, Zhongkui
Yang, Xiaoyan
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2018, 17 (09)
[7] Categories of induced modules and standardly stratified algebras
Futorny, V
König, S
Mazorchuk, V
ALGEBRAS AND REPRESENTATION THEORY, 2002, 5 (03) : 259 - 276
[8] Categories of Induced Modules and Standardly Stratified Algebras
V. Futorny
S. König
V. Mazorchuk
Algebras and Representation Theory, 2002, 5 : 259 - 276
[9] Constructing cotorsion pairs over generalized path algebras
Haiyan Zhu
Frontiers of Mathematics in China, 2016, 11 : 1079 - 1096
[10] Constructing cotorsion pairs over generalized path algebras
Zhu, Haiyan
FRONTIERS OF MATHEMATICS IN CHINA, 2016, 11 (04) : 1079 - 1096

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