A generalization of Dickson's commutative division algebras. Issue 9 (1st September 2020)
- Record Type:
- Journal Article
- Title:
- A generalization of Dickson's commutative division algebras. Issue 9 (1st September 2020)
- Main Title:
- A generalization of Dickson's commutative division algebras
- Authors:
- Thompson, Daniel
- Abstract:
- Abstract: Dickson's commutative semifields are an important class of finite division algebras. We generalize Dickson's construction over any base field by doubling not just finite field extensions (which would correspond to the classical setup), but also central simple algebras. The latter case yields division algebras which are no longer commutative nor associative. We compute their automorphisms.
- Is Part Of:
- Communications in algebra. Volume 48:Issue 9(2020)
- Journal:
- Communications in algebra
- Issue:
- Volume 48:Issue 9(2020)
- Issue Display:
- Volume 48, Issue 9 (2020)
- Year:
- 2020
- Volume:
- 48
- Issue:
- 9
- Issue Sort Value:
- 2020-0048-0009-0000
- Page Start:
- 3922
- Page End:
- 3932
- Publication Date:
- 2020-09-01
- Subjects:
- Automorphisms -- division algebras -- nonassociative algebras
Primary: 17A35 -- Secondary: 17A36 -- 17A60
Algebra -- Periodicals
512.005 - Journal URLs:
- http://www.tandfonline.com/toc/lagb20/current ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/00927872.2020.1751849 ↗
- Languages:
- English
- ISSNs:
- 0092-7872
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 3359.200000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 13915.xml