Generalizations of the primitive element theorem

Christos Nikolopoulos and Panagiotis Nikolopoulos

International Journal of Mathematics and Mathematical Sciences, 1991, vol. 14, 1-8

Abstract:

In this paper we generalize the primitive element theorem to the generation of separable algebras over fields and rings. We prove that any finitely generated separable algebra over an infinite field is generated by two elements and if the algebra is commutative it can be generated by one element. We then derive similar results for finitely generated separable algebras over semilocal rings.

Date: 1991
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/14/949371.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/14/949371.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:949371

DOI: 10.1155/S0161171291000637

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 ().