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Semisimplicity of Free Centred Extensions

Published online by Cambridge University Press:  20 November 2018

Miguel Ferrero
Miguel Ferrero*
Affiliation:
Instituto de Matemática, Universidade Federal do Rio Grande do Sul, 91509-900 Porto Alegre Brazil, e-mail:Ferrero@ifI.ufrgs.br
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Abstract

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We prove that a free centred extension R[E] is a semisimple ring if R is a semisimple ring and C[E] is semisimple for every field C which is the extended centroid of a primitive factor of R.

Keywords

16S2016D60
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 1 , 01 March 1995 , pp. 55 - 58
Copyright
Copyright © Canadian Mathematical Society 1995

References

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