Generalizations of the primitive element theorem

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...

Full description

Saved in:
Bibliographic Details
Main Authors: Christos Nikolopoulos, Panagiotis Nikolopoulos
Format: Article
Language:English
Published: Wiley 1991-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171291000637
Tags: Add Tag
No Tags, Be the first to tag this record!