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Semisimple classes of alternative rings

Published online by Cambridge University Press:  20 January 2009

T. Anderson  and
R. Wiegandt
T. Anderson
Affiliation:
Department of MathematicsUniversity of British ColumbiaVancouver, B.C., Canada
R. Wiegandt
Affiliation:
Mathematical InstituteHungarian Academy of ScienceRealtanoda u. 13–15H-1053 Budapest.
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Recently A. D. Sands [7] solved a problem posed in [6], and characterised the semisimple classes of associative rings as classes being regular, coinductive and closed under extensions. It is the purpose of this note to prove the same assertion for alternative rings. This result is perhaps not surprising, nevertheless its proof cannot be considered an easy one, and it requires a technique of dealing with ideals of ideals. In addition, semisimple classes of hereditary radicals and those of supernilpotent radicals will be characterised as easy consequences of our theorem.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 25 , Issue 1 , February 1982 , pp. 21 - 26
Copyright
Copyright © Edinburgh Mathematical Society 1982

References

REFERENCES

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