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Principal Right Ideal Rings

Published online by Cambridge University Press:  20 November 2018

R. E. Johnson
R. E. Johnson*
Affiliation:
University of Rochester
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This paper is concerned with the recent work of A. W. Goldie (1 ) on principal right ideal rings (p.r.i. rings). We shall prove some of his main structure theorems using the methods of (3) and (4), and in so doing shall weaken some of his hypotheses.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 15 , 1963 , pp. 297 - 301
Copyright
Copyright © Canadian Mathematical Society 1963

References

1. Goldie, A. W., Rings with maximum conditions, Arch. Math., 13 (1962), 213–221.Google Scholar
2. Goldie, A. W., Semi-prime rings with maximum condition, Proc. London Math. Soc, 10 (1960), 201–220.Google Scholar
3. Johnson, R. E., Semi-prime rings, Trans. Amer. Math. Soc, 76 (1954), 375–388.Google Scholar
4 Johnson, R. E., Structure theory of faithful rings, II, Restricted rings, Trans. Amer. Math. Soc, 84 (1957), 523–544.Google Scholar
5. Johnson, R. E. and Wong, E. T., Quasi-infective modules and irreducible rings, J. London Math. Soc, 36 (1961), 260–268.Google Scholar