@article { , title = {The automorphisms of generalized cyclic Azumaya algebras}, abstract = {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|\_\{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.}, doi = {10.1016/j.jpaa.2020.106540}, issn = {0022-4049}, issue = {4}, journal = {Journal of Pure and Applied Algebra}, publicationstatus = {Published}, publisher = {Elsevier}, url = {https://nottingham-repository.worktribe.com/output/2461413}, volume = {225}, keyword = {Rings and Algebras}, year = {2021}, author = {Pumpluen, S} }