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Original Articles

Radicals whose essential covers are semisimple classes

Pages 6239-6258 | Received 01 Nov 1993, Published online: 27 Jun 2007

References

  • Anderson , T. , Divinsky , N. and Sulixiski , A. 1965 . Hereditary radicals in asso¬ciative and alternative rings . Canad. J. Math. , 17 : 594 – 603 .
  • Armendariz , E. P. 1968 . Closure properties in radical theory . Pacific J. Math , 26 : 1 – 7 .
  • Beidar , K. I. 1985 . Examples of rings and radicals, Radical Theory, Colloquia Mathematica Societaties Janos Bolyai , North-Holland : L. Marki and R. Wie-gandt .
  • Birkenmeier , G. F. 1994 . Rings which are essentially supernilpotent . Comm. Algebra , 22 : 1063 – 1082 .
  • Birkenmeier , G. F. , Heatherly , H. E. and Lee , E. K. Completely prime ideals and associated radicals, Ring Theory, Proceedings of the biennial Ohio State-Dension conference . S, K. Jain and S. T. Rizvi, World Scientific .
  • Divinsky , N. J. 1965 . Rings and Radicals , Toronto : University of Toronto Press .
  • Gardner , B. J. 1985 . Radical Theory, Colloquia Math¬ematica Societaties Janos Bolyai , North-Holland, Amsterdam : L. Marki and R, Wiegandt .
  • Gardner , B. J. and Stewart , P. N. 1975 . On semi-simple radical classes . Bull. Austral. Math. Soc. , 13 : 349 – 353 .
  • Hey man , G. A. P. and Roos , C. 1977 . Essential extensions in radical theory for rings . J. Austral Math. Soc , 23 : 340 – 347 .
  • Leavitt , W. G. 1970 . Hereditary semisimple classes . Glasgow Math. J. , 11 : 7 – 8 .
  • van Leeuwen , L. C. A. , Roos , C. and Wiegandt , R. 1977 . Characterizations of semisimple classes . J. Austral Math. Soc , 23 : 172 – 182 .
  • Loi , N. V. 1983 . Essentially closed radical classes . J. Austral. Math. Soc. , 35 : 132 – 142 .
  • Martynov , L. M. 1972 . On solvable rings . ral. Gos. Univ. Mat. Zap , 8 : 82 – 93 .
  • Plotkin , B. I. 1970 . On functorials, radicals and coradicals in groups . Mat. Zapiski , 3 : 150 – 482 .
  • le Roux , H. J. , Heyman , G. A. P. and Jenkins , T. L. 1981 . Essentially closed classes of rings and upper radicals . Ada Math. Acad, Sci. Hungar , 38 : 63 – 68 .
  • Sands , A. D. 1976 . Strong upper radicals . Quart. J. Math. Oxford , 27 : 21 – 24 .
  • Shencan , C. 1992 . Supplementing, dual and quasi-hereditary radicals . North-eastern Math. J. , 8 : 357 – 363 .
  • Stewart , P. N. 1970 . Semi-simple radical classes . Pacific J. Math , 32 : 249 – 254 .
  • Sulinski , A. , Anderson , R. and Divinsky , N. 1966 . Lower radical properties for associative and alternative rings . J. London Math. Soc , 41 : 417 – 424 .
  • Szasz , F. A. 1981 . Radicals of Rings , New York : Wiley .
  • Widiger , A. and Wiegandt , R. 1977 . Theory of radicals for hereditarily artinian rings . Ada Sci. Math. Szeged , 39 : 303 – 312 .

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