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| GROUP ACTIONS ON VON NEUMANN REGULAR RINGS |
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Citation： |
Zhang Yinhuo.GROUP ACTIONS ON VON NEUMANN REGULAR RINGS[J].Chinese Annals of Mathematics B,1994,15(2):235~240 |
| Page view： 1123
Net amount： 769 |
Authors： |
Zhang Yinhuo; |
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| Abstract： |
Let $A$ be a ring with indentity, $G$ a finite group of
automorphisms of $A$. The main result of this paper is that
$A/A^G$ is Galois if and only if it is Frobenius and the module
${}_{A*G}A$ (or $A_{A*G})$ is faithful. Moreover if $|G|$ is
invertible the author improves [2, Theorem 8] and [3, Theorem 8]. |
Keywords： |
Von Neumann regular ring, Extension, Group, Automorphism. |
Classification： |
16E50. |
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