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On maximal torsion radicals. III


Author: John A. Beachy
Journal: Proc. Amer. Math. Soc. 52 (1975), 113-116
MSC: Primary 16A66
DOI: https://doi.org/10.1090/S0002-9939-1975-0396685-4
MathSciNet review: 0396685
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Abstract: Maximal torsion radicals of a strongly semiprime ring correspond to minimal prime ideals and can be used to characterize both strongly semiprime and semiprime Goldie rings.


References [Enhancements On Off] (What's this?)

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  • [2] -, On maximal torsion radicals. II, Canad. J. Math. 27 (1975), 115-120. MR 0396684 (53:546)
  • [3] -, Perfect quotient functors, Comm. Algebra 2 (1974), 403-427. MR 0360654 (50:13101)
  • [4] John A. Beachy and William D. Blair, Rings whose faithful left ideals are cofaithful, Pacific J. Math. (to appear). MR 0393092 (52:13903)
  • [5] D. Handelman, Strongly semiprime rings, Pacific J. Math. (to appear). MR 0389956 (52:10785)
  • [6] D. Handelman and J. Lawrence, Strongly prime rings, Trans. Amer. Math. Soc. 211 (1975), 209-223. MR 0387332 (52:8175)
  • [7] Robert A. Rubin, Absolutely torsion-free rings, Pacific J. Math. 46 (1973), 503-514. MR 0364326 (51:581)
  • [8] Jorge Viola-Prioli, On absolutely torsion free rings and kernel functors, Thesis, New Brunswick, N. J., Rutgers University, 1973.

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1975-0396685-4
Keywords: Semiprime Goldie ring, strongly semiprime ring, maximal torsion radical
Article copyright: © Copyright 1975 American Mathematical Society

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