The automorphisms of generalized cyclic Azumaya algebras

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:225

Article

Pumplun, S.¹ 

[1] Univ Nottingham, Sch Math Sci, Univ Pk, Nottingham NG7 2RD, England

关键词: Skew polynomial;    Ore polynomial;    Azumaya algebra;    Cyclic algebra;   

DOI  :  10.1016/j.jpaa.2020.106540

来源: Elsevier

【 摘 要 】

We define a nonassociative generalization of cyclic Azumaya algebras employing skew polynomial rings D[t; sigma], where D is an Azumaya algebra of constant rank with center C and sigma an automorphism of D, such that sigma vertical bar(C) has finite order. The automorphisms of these algebras are canonically induced by ring automorphisms of the skew polynomial ring D[t; sigma] used in their construction. We achieve a description of their inner automorphisms. Results on the automorphisms of classical Azumaya algebras and central simple algebras of this type are obtained as special cases. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free