Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-12-02T13:23:35.620Z Has data issue: false hasContentIssue false

Corrigendum et addendum: the Frattini subalgebra of a Bernstein algebra

Published online by Cambridge University Press:  20 January 2009

Jesús Laliena
Affiliation:
Departamento de Matemáticas, Universidad de la Rioja, 26004-Logroño, Spain
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In a previous paper it is supposed that if A is a Bernstein algebra, every maximal subalgebra, M, verifies that dim M = dim A − 1. This is not true in general. Therefore Proposition 2 in this paper is not correct. However other results there, where this assertion was used, are correct but their proofs need some modifications now.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1994

References

REFERENCES

1.Grishkov, A. N., On the Genetic Property of Bernstein algebras, Soviet Math. Dokl. 35 (1987), 489492.Google Scholar
2.Laliena, J., The Frattini subalgebra of a Bernstein algebra, Proc. Edinburgh Math. Soc. 34 (1992), 397403.CrossRefGoogle Scholar
3.Towers, D., A Frattini theory for algebras, Proc. London Math. Soc. (3) 27 (1973), 440462.CrossRefGoogle Scholar
4.Wörz-Busekros, A., Algebras in Genetics (Springer-Verlag. Lectures Notes in Biomathematics 36, Berling Heidelberg 1980).CrossRefGoogle Scholar