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Algebra and Discrete Mathematics, 2013, Volume 16, Issue 1, Pages 71–80 (Mi adm435)  
RESEARCH ARTICLE

On the structure of skew groupoid rings which are Azumaya

Daiana Flôresa, Antonio Paquesb

a Departamento de Matemática, Universidade Federal de Santa Maria, 97105-900, Santa Maria, RS, Brazil
b Instituto de Matemática, Universidade Federal do Rio Grande do Sul, 91509-900, Porto Alegre, RS, Brazil
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Abstract: In this paper we present an intrinsic description of the structure of an Azumaya skew groupoid ring, having its center contained in the respective ground ring, in terms of suitable central Galois algebras and commutative Galois extensions.
Keywords: groupoid action, skew groupoid ring, Azumaya ring, Galois algebra.
Received: 11.04.2013
Revised: 11.04.2013
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Document Type: Article
MSC: 16H05, 18B40, 20L99
Language: English
Citation: Daiana Flôres, Antonio Paques, “On the structure of skew groupoid rings which are Azumaya”, Algebra Discrete Math., 16:1 (2013), 71–80
Citation in format AMSBIB
\Bibitem{FloPaq13}
\by Daiana~Fl{\^o}res, Antonio~Paques
\paper On the structure of skew groupoid rings which are Azumaya
\jour Algebra Discrete Math.
\yr 2013
\vol 16
\issue 1
\pages 71--80
\mathnet{http://mi.mathnet.ru/adm435}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3184699}
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