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Finitistic dimensions and good filtration dimensions of stratified algegras

Published online by Cambridge University Press:  17 April 2009

Shugui Wang  and
Bin Zhu
Shugui Wang
Affiliation:
Department of Mathematics, Huai Hua University, Huaihua 418008, Hunan, China
Bin Zhu
Affiliation:
Department of Mathematical Sciences, Tsinghua University, 10084 Beijing, China e-mail: bzhu@math.tsinghua.edu.cn
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Δ–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 Δ–finitistic dimension and the good filtration dimension. Finally, the –good filtration dimension of standardly stratified algebras is equal to the –good filtration dimension of their Ringel duals.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 69 , Issue 2 , April 2004 , pp. 341 - 347
Copyright
Copyright © Australian Mathematical Society 2004

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