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Finitistic dimensions and good filtration dimensions of stratified algegras
被引:0
|作者:
Wang, SG
[1
]
Zhu, B
机构:
[1] Huai Hua Univ, Dept Math, Huaihua 418008, Hunan, Peoples R China
[2] Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China
关键词:
D O I:
10.1017/S0004972700036078
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
Delta-finitistic dimensions of standardly stratified algebras are defined similarly to properly stratified algebras. It is proved that the finitistic dimension for any standardly stratified algebra is bounded by the sum of the Delta-finitistic dimension and the del-good filtration dimension. Finally, the del-good filtration dimension of standardly stratified algebras is equal to the del-good filtration dimension of their Ringel duals.
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页码:341 / 347
页数:7
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