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A note on the Jacobson radical

Author: Yu Lee Lee
Journal: Proc. Amer. Math. Soc. 118 (1993), 337-338
MSC: Primary 16N20
MathSciNet review: 1131037
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Abstract: In this paper we solve a problem of Divinsky to represent the Jacobson radical as a lower radical class.

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

  • [1] N. J. Divinsky, Rings and radicals, Univ. of Toronto Press, Ontario, 1965. MR 0197489 (33:5654)
  • [2] B. J. Gardner, Radical theory, Longman Scientific and Technical, England, 1989. MR 1006673 (90h:16019)
  • [3] A. G. Kurosh, Radicals of rings and algebra, Mat. Sb. 33 (1953), 13-26; English transl., Rings, modules, and radicals, Colloq. Math. Soc. János Bolyai, vol. 6, North-Holland, Amsterdam, 1973, pp. 297-312. MR 0345998 (49:10724)
  • [4] W. G. Leavitt, The general theory of radicals, Univ. of Nebraska, Lincoln, NE, 1972.
  • [5] Y. L. Lee, On the construction of upper radical properties, Proc. Amer. Math. Soc. 19 (1968), 1165-1166. MR 0231850 (38:178)
  • [6] -, On the construction of lower radical properties, Pacific J. Math. 28 (1969), 393-395. MR 0240138 (39:1492)
  • [7] F. A. Szasz, Radicals of rings, Wiley, New York, 1981. MR 636787 (84a:16012)
  • [8] R. Wiegandt, Radical and semisimple classes of rings, Queen's Univ., Kingston, Ontario, Canada, 1974. MR 0349734 (50:2227)

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Keywords: Jacobson radical, lower radicals
Article copyright: © Copyright 1993 American Mathematical Society

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