Finitistic dimension of standardly stratified algebras

被引:24
作者
Agoston, I [1 ]
Happel, D
Lukács, E
Unger, L
机构
[1] Eotvos Lorand Univ, Dept Algebra & Number Theory, H-1088 Budapest, Hungary
[2] Tech Univ Chemnitz, Fak Math, D-09107 Chemnitz, Germany
[3] Tech Univ Budapest, Dept Algebra, H-1521 Budapest, Hungary
[4] Univ Gesamthsch Paderborn, Fachbereich Math, D-33098 Paderborn, Germany
关键词
D O I
10.1080/00927870008826990
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that the projectively and the injectively defined finitistic dimensions of a standardly stratified algebra are always finite by giving the optimal bound for these numbers in terms of the number of simple modules.
引用
收藏
页码:2745 / 2752
页数:8
相关论文
共 10 条
[1]  
Agoston I., 1998, MATH REP ACAD SCI CA, V20, P22
[2]   HOMOLOGICAL THEORY OF IDEMPOTENT IDEALS [J].
AUSLANDER, M ;
PLATZECK, MI ;
TODOROV, G .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 332 (02) :667-692
[3]  
CLINE E, 1988, J REINE ANGEW MATH, V391, P85
[4]  
CLINE E, 1996, MEMOIRS AMS, V591
[5]   QUASI-HEREDITARY ALGEBRAS [J].
DLAB, V ;
RINGEL, CM .
ILLINOIS JOURNAL OF MATHEMATICS, 1989, 33 (02) :280-291
[6]  
DLAB V, 1992, LONDON MATH SOC LECT, V168, P200
[7]  
Dlab V, 1996, AN ST U OVIDIUS CONS, V4, P43
[8]  
Happel D., 1993, Tsukuba J. Math., V17, P115
[9]  
Wick BD, 1996, COMMUN ALGEBRA, V24, P1217
[10]  
ZIMMERMANNHUISG.B, 1994, ABELIAN GROUPS MODUL, P501