The automorphisms of generalized cyclic Azumaya algebras

We define a nonassociative generalization of cyclic Azumaya algebras employing skew polynomial rings D[t;σ], where D is an Azumaya algebra of constant rank with center C and σ an automorphism of D, such that σ|C has finite order. The automorphisms of these algebras are canonically induced by ring automorphisms of the skew polynomial ring D[t;σ] 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.