RESEARCH ARTICLE

On the structure of skew groupoid rings which are Azumaya

Daiana Flôres^a, Antonio Paques<sup>b

a</sup> 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

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.

MSC: 16H05, 18B40, 20L99

Received: 11.04.2013
Revised: 11.04.2013

Language: English

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