Nonassociative cyclic extensions of fields and central simple algebras

Tools

Brown, C. and Pumpluen, S. (2018) Nonassociative cyclic extensions of fields and central simple algebras. Journal of Pure and Applied Algebra . ISSN 0022-4049 (In Press)

Full text not available from this repository.

Abstract

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 degree m (resp., qs). Some of Amitsur's classical results on non-commutative associative cyclic extensions of both fields and central simple algebras are obtained as special cases.

Item Type: Article
RIS ID: https://nottingham-repository.worktribe.com/output/947682
Keywords: Skew polynomial, Ore polynomial, cyclic algebra, cyclic extension
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Depositing User: Eprints, Support
Date Deposited: 24 Jul 2018 10:24
Last Modified: 04 May 2020 19:47
URI: https://eprints.nottingham.ac.uk/id/eprint/53113

Actions (Archive Staff Only)

Edit View Edit View