Rings with zero right and left singular ideals
Author:
R. E. Johnson
Journal:
Trans. Amer. Math. Soc. 118 (1965), 150-157
MSC:
Primary 16.20
DOI:
https://doi.org/10.1090/S0002-9947-1965-0178017-8
MathSciNet review:
0178017
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References | Similar Articles | Additional Information
- Y. Utumi, On rings of which any one-sided quotient rings are two-sided, Proc. Amer. Math. Soc. 14 (1963), 141–147. MR 142568, DOI https://doi.org/10.1090/S0002-9939-1963-0142568-6
- Yuzo Utumi, A note on rings of which any one-sided quotient rings are two-sided, Proc. Japan Acad. 39 (1963), 287–288. MR 186695
- R. E. Johnson, Quotient rings of rings with zero singular ideal, Pacific J. Math. 11 (1961), 1385–1392. MR 143779 ---, Structure theory of faithful rings. II, Trans. Amer. Math. Soc. 84 (1957), 523-544.
- Jakob Levitzki, On multiplicative systems, Compositio Math. 8 (1950), 76–80. MR 33799
- Kenneth G. Wolfson, An ideal-theoretic characterization of the ring of all linear transformations, Amer. J. Math. 75 (1953), 358–386. MR 53080, DOI https://doi.org/10.2307/2372458
- Nathan Jacobson, Structure of rings, American Mathematical Society Colloquium Publications, Vol. 37, American Mathematical Society, 190 Hope Street, Prov., R. I., 1956. MR 0081264
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Article copyright:
© Copyright 1965
American Mathematical Society
