PORTUGALIAEMATHEMATICA
Vol. 52, No. 4, pp. 465-470 (1995)
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PORTUGALIAE MATHEMATICA Vol. 52, No. 4, pp. 465-470 (1995) |
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Azumaya Algebras of a Ring with a Finite Automorphism GroupXinde Deng and George SzetoMathematics Department, Zhongshan University,Guangzhou, 510275 - P.R. CHINA Mathematics Department, Bradley University, Peoria, Illinois 61625 - U.S.A. Abstract: Let $R$ be a ring with 1, $C$ the center of $R$, and $G$ a finite automorphism group of $R$. Denote the subring of the elements of $R$ fixed under each element in $G$ by $R^{G}$ and the commutator subring of $R^{G}$ in $R$ by $V$. Conditions are given such that two Azumaya algebras of the rings $R$, $R^{G}$ and $V$ imply that the third one is also an Azumaya algebra. Keywords: Azumaya algebras; Galois extensions; skew group rings. Classification (MSC2000): 16H05; 16W20 Full text of the article:
Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.
© 1995 Sociedade Portuguesa de Matemática
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