EQUIVALENCES INDUCED BY INFINITELY GENERATED TILTING MODULES

被引:0
作者
Bazzoni, Silvana [1 ]
机构
[1] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35121 Padua, Italy
关键词
Tilting modules; equivalences and derived equivalences; COTILTING MODULES; INTEGRAL-DOMAINS; CATEGORIES;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We generalize Brenner and Butler's Theorem as well as Happel's Theorem on the equivalences induced by a finitely generated tilting module over Artin algebras, to the case of an infinitely generated tilting module over an arbitrary associative ring establishing the equivalences induced between subcategories of module categories and also at the level of derived categories.
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页码:533 / 544
页数:12
相关论文
共 21 条
[1]   Tilting preenvelopes and cotilting precovers [J].
Angeleri Hugel, L ;
Tonolo, A ;
Trlifaj, J .
ALGEBRAS AND REPRESENTATION THEORY, 2001, 4 (02) :155-170
[2]  
[Anonymous], 2007, London Math. Soc. Lecture Note Ser., DOI DOI 10.1017/CBO9780511735134.005
[3]   Cotilting modules are pure-injective [J].
Bazzoni, S .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (12) :3665-3672
[4]   One dimensional tilting modules are of finite type [J].
Bazzoni, Silvana ;
Herbera, Dolors .
ALGEBRAS AND REPRESENTATION THEORY, 2008, 11 (01) :43-61
[5]  
BOKSTEDT M, 1993, COMPOS MATH, V86, P209
[6]  
Brenner S., 1980, P ICRA 2 OTT 1979 SP, V832, P103
[7]   TILTING, COTILTING, AND SERIALLY TILTED RINGS [J].
COLBY, RR ;
FULLER, KR .
COMMUNICATIONS IN ALGEBRA, 1990, 18 (05) :1585-1615
[8]   TILTING MODULES AND TILTING TORSION [J].
COLPI, R ;
TRLIFAJ, J .
JOURNAL OF ALGEBRA, 1995, 178 (02) :614-634
[9]   Tilting in Grothendieck categories [J].
Colpi, R .
FORUM MATHEMATICUM, 1999, 11 (06) :735-759
[10]   Quasi-tilting modules and counter equivalences [J].
Colpi, R ;
DEste, G ;
Tonolo, A .
JOURNAL OF ALGEBRA, 1997, 191 (02) :461-494