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On semisimple classes of associative and alternative rings

Published online by Cambridge University Press:  20 January 2009

E. R. Puczyłowski
E. R. Puczyłowski
Affiliation:
Institute of Mathematics University, Pkin, 00-901 Warsaw
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In [6] Sands proved that the semisimple classes of associative rings are exactly the coinductive and closed under ideals and extensions classes. This characterization was transferred to the alternative case by Van Leeuwen, Roos and Wiegandt in [3]. Answering a question of [9], Sands [7] has recently proved that in the associative case the condition of being closed under ideals can be replaced by the regularity of the class. The same result for alternative rings has been proved by Anderson and Wiegandt in [2]. Thus the following result holds.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 27 , Issue 1 , February 1984 , pp. 1 - 5
Copyright
Copyright © Edinburgh Mathematical Society 1984

References

REFERENCES

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