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| H-SEPARABLE RINGS AND THEIR HOPF-GALOIS EXTENSIONS |
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Citation： |
Jiang Xiaolong,Xu Yonghua.H-SEPARABLE RINGS AND THEIR HOPF-GALOIS EXTENSIONS[J].Chinese Annals of Mathematics B,1998,19(3):311~320 |
| Page view： 1030
Net amount： 673 |
Authors： |
Jiang Xiaolong; Xu Yonghua |
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| Abstract： |
First, some properties of $H$-separable rings are discussed, and
it is shown that the $H$-separable ring $A$ can be represented as
the tensor product of its subrings under certain conditions. Secondly, a
necessary and sufficient condition is obtained for a Hopf Galois
extension $A/B$ to be $H$-separable. Finally, some equivalent
conditions are got for an $H$-separable ring $A$ to be a
Hopf-Galois extension over a certain subring $B$. |
Keywords： |
$H$-separable ring, Hopf-Galois extension, Subring |
Classification： |
16W30 |
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