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Graded Antisimple Primitive Radical

Graded Antisimple Primitive Radical
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摘要 We introduce the graded version of the antisimple primitive radical SJ, the graded an- tisimple prinfitive radical SJ_G. We show that SJ_G=SJ_(ref)=SJ^G when |G|<∞. where SJ_(ref) denotes the reflected antisimple primitive radical and SJ^G denotes the restricted antisimple primitive radical. Furthermore, we discuss the graded supplementing radical of SJ^G. We introduce the graded version of the antisimple primitive radical SJ, the graded an- tisimple prinfitive radical SJ_G. We show that SJ_G=SJ_(ref)=SJ^G when |G|<∞. where SJ_(ref) denotes the reflected antisimple primitive radical and SJ^G denotes the restricted antisimple primitive radical. Furthermore, we discuss the graded supplementing radical of SJ^G.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2002年第3期505-512,共8页 数学学报(英文版)
基金 Project supported by the National Natural Science Foundation of China (No: 19971073) the Natural Science Foundation of Jiangsu Province.
关键词 Graded antisimple primitive radical Graded subdirectly irreducible graded primitive ring Graded supplementing radical Graded antisimple primitive radical Graded subdirectly irreducible graded primitive ring Graded supplementing radical
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参考文献10

  • 1魏俊潮,孙建华.有限正规化扩张的根[J].扬州师院学报(自然科学版),1995,15(1):1-3. 被引量:1
  • 2魏俊潮,孙建华.关于分次根的一些结果[J].扬州师院学报(自然科学版),1994,14(2):6-10. 被引量:2
  • 3M. Beattie,P. Stewart.Graded radicals of graded rings[J].Acta Mathematica Hungarica (-).1991(3-4)
  • 4Passmen D S.It s essentially Maschlke s Theorem[].Rocky Mountain Medical Journal.1983
  • 5Wei J. C.Graded antisiple primitive radical, J[].Yangzhou Teachers College.1993
  • 6F Hongjin,P Stewart.Radical Theory for Graded Rings[].Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics.1992
  • 7Cohen M,Montgomery S.Group-graded rings, smash products and group actions[].Transactions of the American Mathematical Society.1984
  • 8Passman D. S.Infinite crossed products and group graded rings, Trans[].Journal of the American Mathematical Society.1984
  • 9Seghal. S. K.Topics in group rings[]..1979
  • 10Cai,C. R.Dual radicals and problem 21 of F. A. Szasz’’s[].Acta Mathematica Sinica.1989

二级参考文献1

  • 1Martin Lorenz. Finite normalizing extensions of rings[J] 1981,Mathematische Zeitschrift(4):447~484

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