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Annihilators in semiprime right Goldie rings

Published online by Cambridge University Press:  20 January 2009

C. R. Hajarnavis
C. R. Hajarnavis
Affiliation:
Mathematics InstituteUniversity of WarwickCoventry CV4 7AL, United Kingdom
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(i) Let R be a semiprime right Goldie ring with dim R = n. Then a maximal chain of right annihilators in R has exactly n terms, (ii) A semiprime locally right Goldie ring with ACC and DCC on right annihilators is a right Goldie ring.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 35 , Issue 1 , February 1992 , pp. 133 - 137
Copyright
Copyright © Edinburgh Mathematical Society 1992

References

REFERENCES

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