On separable extensions of group rings and quaternion rings

George Szeto

International Journal of Mathematics and Mathematical Sciences, 1978, vol. 1, 1-6

Abstract:

The purposes of the present paper are (1) to give a necessary and sufficient condition for the uniqueness of the separable idempotent for a separable group ring extension R G ( R may be a non-commutative ring), and (2) to give a full description of the set of separable idempotents for a quaternion ring extension R Q over a ring R , where Q are the usual quaternions i , j , k and multiplication and addition are defined as quaternion algebras over a field. We shall show that R G has a unique separable idempotent if and only if G is abelian, that there are more than one separable idempotents for a separable quaternion ring R Q , and that R Q is separable if and only if 2 is invertible in R .

Date: 1978
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/1/907834.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/1/907834.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:907834

DOI: 10.1155/S0161171278000435

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().