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Communications in Algebra Volume 32, 2004 - Issue 7
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Original Articles

On Matrix Rings and Subhereditary Radicals

K. I. Beidar Department of Mathematics, National Cheng-Kung University, Tainan, Taiwan; Department of Mathematics, National Cheng-Kung University, Tainan, TaiwanCorrespondence[email protected] [email protected]
,
W.-F. Ke Department of Mathematics, National Cheng-Kung University, Tainan, Taiwan
&
E. R. Puczyłowski Institute of Mathematics, University of Warsaw, Warsaw, Banacha, Poland
Pages 2827-2839 | Received 01 Jan 2003, Published online: 18 Aug 2006

References

  • Beidar , K. I. 1982 . “ Examples of rings and radicals ” . In Radical Theory , Colloq. Math. Soc. J. Bolyai Vol. 38 , 19 – 46 . North Holland
  • Beidar , K. I. , Martindale , W. S. and Mikhalev , A. V. 1996 . Rings with Generalized Identities Marcel Dekker .
  • Beidar , K. I. , Fong , Y. and Ke , W.-F. 1998 . On complemented radicals . J. Algebra , 20 : 328 – 356 .
  • Beidar , K. I. , Ke , W.-F. and Puczyłowski , E. R. 2002 . On subhereditary radicals and reduced rings . Proc. Royal Math. Soc. Edinburgh , 20 : 255 – 266 .
  • Cassels , A. C. and Fröhlich , A. 1967 . “ Algebraic number theory ” . Proceedings of an Industrial Conference Academic Press .
  • Divinsky , N. , Krempa , J. and Suliński , A. 1971 . Strong radical properties of alternative and associative rings . J. Algebra , 71 : 369 – 388 .
  • Hendelman , D. and Lawrence , J. 1975 . Strongly prime rings . Trans. Am. Math. Soc. , 211 : 209 – 223 .
  • Puczyłowski , E. R. 1982 . Hereditariness of strong and stable radicals . Glasgow Math. J. , 23 : 85 – 90 .
  • Puczyłowski , E. R. 1986 . On Sands' questions concerning strong radicals of associative rings . Glasgow Math. J. , 28 : 1 – 3 .
  • Puczyłowski , E. R. and Zand , H. 1999 . Subhereditary radicals of associative rings . Algebra Colloq. , 6 : 215 – 223 .
  • Rowen , L. H. 1980 . Polynomial Identities in Ring Theory Academic Press .
  • Sands , A. D. 1976 . Strong upper radicals . Quart. J. Math. (Oxford) , 27 : 21 – 24 .
  • Tumurbat , S. 2002 . Some issues in the theory of supernilpotent radicals . Bul. Acad. Stiinte Repub. Mold. Mat. , 1 : 3 – 43 .
  • Tumurbat , S. and Zand , H. 2001 . On subhereditary radicals and principally left hereditary radicals . East–West. J. Math. , 3 : 101 – 108 .
  • Tumurbat , S. and Wiegandt , R. 2002 . On subhereditary radicals and Brown-McCoy semisimple rings . Bul. Acad. Stiinte Repub. Mold. Mat. , 3 : 11 – 20 .
  • Wiegandt , R. 1974 . Radical and Semisimple Classes of Rings , Queen's Papers in Pure & Appl. Math. Vol. 37 , Ontario : Kingston .
  • # Communicated by M. Ferrero.

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