- Turkish Journal of Mathematics
- Vol: 37 Issue: 2
- Global and finitistic dimension of Hopf-Galois extensions
Global and finitistic dimension of Hopf-Galois extensions
Authors : Ling Liu, Qiao-ling Guo
Pages : 210-217
Doi:10.3906/mat-1107-15
View : 9 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :Let H be a Hopf algebra over a field k and A/B a right H-Galois extension. Then in this note a spectral sequence for Ext will be constructed which yields the estimate for global dimension of A in terms of the corresponding data for H and B. As an application, we obtain the Maschke-type theorems for crossed products and twisted smash products. Finally, the relationship of finitistic dimensions between A and B will be given, if H is semisimple.Keywords : Hopf-Galois extension, spectral sequence, global dimension, finitistic dimension