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- W2940541464 abstract "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." @default.
- W2940541464 created "2019-05-03" @default.
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- W2940541464 date "2021-04-01" @default.
- W2940541464 modified "2023-10-03" @default.
- W2940541464 title "The automorphisms of generalized cyclic Azumaya algebras" @default.
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- W2940541464 doi "https://doi.org/10.1016/j.jpaa.2020.106540" @default.
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