Nonassociative cyclic extensions of fields and central simple algebras

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Nonassociative cyclic extensions of fields and central simple algebras

We define nonassociative cyclic extensions of degree m of both fields andcentral simple algebras over fields. If a suitable field contains a primitive mth (resp., qth) root of unity, we show that suitable nonassociative generalized cyclic division algebras yield nonassociative cyclic extensions of d...

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Bibliographic Details
Main Authors:	Brown, C., Pumpluen, S.
Format:	Article
Published:	Elsevier 2018
Subjects:	Skew polynomial Ore polynomial cyclic algebra cyclic extension
Online Access:	https://eprints.nottingham.ac.uk/53113/

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