On partial Galois Azumaya extensions

• Published in: Algebra and Discrete Mathematics
• Date: 2011
• Main Authors: Paques, A., Freitas, D.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154840
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On partial Galois Azumaya extensions / D. Freitas, A. Paques // Algebra and Discrete Mathematics. — 2011. — Vol. 11, № 2. — С. 64–77. — Бібліогр.: 19 назв. — англ.

Let α be a globalizable partial action of a finite group G over a unital ring R, A=R⋆αG the corresponding partial skew group ring, Rα the subring of the α-invariant elements of R and α⋆ the partial inner action of G (induced by α) on the centralizer CA(R) of R in A. In this paper we present equivale...