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On accessible subrings of associative rings

Published online by Cambridge University Press:  20 January 2009

R. R. Andruszkiewicz
R. R. Andruszkiewicz
Affiliation:
Institute of MathematicsUniversity of WarsawBialystok DivisionAkademicka 215–267 Bialystok, Poland
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We describe for every natural n the class of rings R such that if R is an accessible (left accessible) subring of a ring then R is an n-accessible (n-left-accessible) subring of the ring. This is connected with the problem of the termination of Kurosh's construction of the lower (lower strong) radical. The result for n = 2 was obtained by Sands in a connection with some other questions.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 35 , Issue 1 , February 1992 , pp. 101 - 107
Copyright
Copyright © Edinburgh Mathematical Society 1992

References

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