On central division algebras

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1972 English Publisher:Springer Science and Business Media LLCJournal:Israel Journal of Mathematics, volume 12, pages 408-420 (issn: 0021-2172, eissn: 1565-8511,

Copyright policy )

Authors: Amitsur, S. A.;

doi: 10.1007/bf02764632

On central division algebras

- Summary
- Subjects
- Metrics

Abstract

For any integern such that 8|n or for which there exists an odd primeq such thatq 2|n, there is a central division algebra of dimensionn 2 over its center which is not a crossed product. The algebra constructed in this paper is the algebraQ(X 1,…,X)m, the algebra generated over the rationalQ bym(≧2) generic matrices.

Related Organizations

Hebrew University of Jerusalem
Israel

Keywords

Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Division rings and semisimple Artin rings, Algebraic number theory: local fields

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	90
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 1%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%