Monomial algebras over infinite quivers. applications to N-complexes of modules

被引:20
作者
Estrada, Sergio [1 ]
机构
[1] Univ Murcia, Dept Appl Math, E-30100 Murcia, Spain
关键词
gorenstein category; monomial algebra; N-complex;
D O I
10.1080/00914030701410211
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We apply previous techniques on infinite quivers to describe projective and injective modules over a monomial algebra Lambda= RQ/I (where R is any arbitrary ring with identity). Then we consider the case Q = A(infinity)(infinity) and I is generated by paths of length N >= 2, so we get the category of so-called "N-complexes of R-modules". For this category we will prove that if R has finite Gorenstein global dimension, then it is a Gorenstein category.
引用
收藏
页码:3214 / 3225
页数:12
相关论文
共 15 条
[1]   dN=0:: Generalized homology [J].
Dubois-Violette, M .
K-THEORY, 1998, 14 (04) :371-404
[2]   Projective representations of quivers [J].
Enochs, E ;
Estrada, S .
COMMUNICATIONS IN ALGEBRA, 2005, 33 (10) :3467-3478
[3]   Relative homological algebra in the category of quasi-coherent sheaves [J].
Enochs, E ;
Estrada, S .
ADVANCES IN MATHEMATICS, 2005, 194 (02) :284-295
[4]   Flat covers and flat representations of quivers [J].
Enochs, E ;
Oyonarte, L ;
Torrecillas, B .
COMMUNICATIONS IN ALGEBRA, 2004, 32 (04) :1319-1338
[5]  
ENOCHS E, IN PRESS MATH NACHR
[6]  
ENOCHS E, IN PRESS CANAD J MAT
[7]  
ENOCHS E, IN PRESS MATH SCAND
[8]  
Enochs E., 2000, RELATIVE HOMOLOGICAL, V30
[9]   A homotopy of quiver morphisms with applications to representations [J].
Enochs, EE ;
Herzog, I .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1999, 51 (02) :294-308
[10]  
Garcia Rozas J. R., 1999, COVERS ENVELOPES CAT, V407