A note on the Jacobson radical
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- by Yu Lee Lee PDF
- Proc. Amer. Math. Soc. 118 (1993), 337-338 Request permission
Abstract:
In this paper we solve a problem of Divinsky to represent the Jacobson radical as a lower radical class.References
- Nathan Divinsky, Rings and radicals, Mathematical Expositions, No. 14, University of Toronto Press, Toronto, Ont., 1965. MR 0197489
- B. J. Gardner, Radical theory, Pitman Research Notes in Mathematics Series, vol. 198, Longman Scientific & Technical, Harlow; copublished in the United States with John Wiley & Sons, Inc., New York, 1989. MR 1006673
- A. G. Kuroš, Radicals of rings and algebras, Rings, modules and radicals (Proc. Colloq., Keszthely, 1971) Colloq. Math. Soc. János Bolyai, Vol. 6, North-Holland, Amsterdam, 1973, pp. 297–314. Translated from the Russian original. MR 0345998 W. G. Leavitt, The general theory of radicals, Univ. of Nebraska, Lincoln, NE, 1972.
- Yu-lee Lee, On the construction of upper radical properties, Proc. Amer. Math. Soc. 19 (1968), 1165–1166. MR 231850, DOI 10.1090/S0002-9939-1968-0231850-4
- Yu-lee Lee, On the construction of lower radical properties, Pacific J. Math. 28 (1969), 393–395. MR 240138
- F. A. Szász, Radicals of rings, A Wiley-Interscience Publication, John Wiley & Sons, Ltd., Chichester, 1981. Translated from the German by the author. MR 636787
- Richard Wiegandt, Radical and semisimple classes of rings, Queen’s Papers in Pure and Applied Mathematics, No. 37, Queen’s University, Kingston, Ont., 1974. MR 0349734
Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 118 (1993), 337-338
- MSC: Primary 16N20
- DOI: https://doi.org/10.1090/S0002-9939-1993-1131037-1
- MathSciNet review: 1131037