期刊文献+

群环Z_nD_m的代数结构 被引量:1

Algebraic Structure of Group Rings Z_nD_m
原文传递
导出
摘要 讨论了当m,n为素数时,群环Z_nD_m的代数结构,给出了其单位群和零因子. This paper considers the algebraic structure of group rings ZnDm, if m, n are prime ,and the unit group and zero-divisor of ZnDm are given.
作者 黄逸飞 易忠
出处 《数学的实践与认识》 CSCD 北大核心 2013年第16期237-242,共6页 Mathematics in Practice and Theory
基金 广西自然科学基金(2010GXNSFA013118) 广西教育厅科研项目(200911MS58) 广西民族师范学院科研基金(2012XYYB006)
关键词 群环 零因子 单位群 JACOBSON根 group rings zero-divisor unit group Jacobson radical
  • 相关文献

参考文献10

  • 1Sharma R K, Gangopadhyay S. On units in ZA4[J]. Math Res Hot-Line, 2000, 4(8): 13-29.
  • 2Hughes I and Pearson K R. The group of units of the integral group ring ZS3 [J]. Can Math Bull, 1972, 15(4): 529-534.
  • 3Sharma R K and S.Gangopadhyay, On congruence subgroups and units in ZS4[J]. Comm.Algebra, 2004(32): 663-688.
  • 4Sharma R K, Srivastava J B, Manju Khan. The unit group of FA4[J]. Publ Math Debrecen, 2007(71): 21-26.
  • 5Khan M, Sharma R K, Srivastava J B. The unit group of FSn[J]. Acta Math Hungar, 2007(4): 105-113.
  • 6Milies C P, Sehgal S K. An introduction to Group Rings[M]. Kluwer Acadimic publishers, Dordrecht, 2002.
  • 7Passman D S. The Algebraic Structure of Group Rings[M]. New York, 1977.
  • 8Lam T Y. A First Course in Noncommutative Rings[M]. Springer, New Yerk, 2001.
  • 9Yuji Kobayashi, Kwangil Koh. A classification of finite rings by zero divisors[J]. Journal of Pure and Applied Algebra, 1986(40): 135-147.
  • 10Lam T Y. A First Course in Noncommutative Rings[M].Springer,New Yerk, 2001.

同被引文献14

  • 1潘承洞,潘承彪.初等数论[M].北京:北京大学出版社,2005.
  • 2SHARMA R K,and GANGOPADHYAY S.On units in ZA_4[J].Math Res Hot-Line,2000,4(8):13-29.
  • 3HUGHES I,and PEARSON K R.The group of units of the integral group ring ZS_3[J].Can Math Bull,1972,15(4):529-534.
  • 4Sharma R K,and Gangopadhyay S.On congruence subgroups and units in ZS_4[J].Comm Algebra,2004,32:663-688.
  • 5Sharma R K,Srivastava J B.and Manju Khan,The unit group of FA_4[J].Publ Math Debrecen,2007,71:21-26.
  • 6Khan M,Sharma R K,and Srivastava J B.The unit group of FS_4[J].Acta Math Hungar,10.1007/sl0474-007-6169-4(2007),105-113.
  • 7Milies C P,Sehgal S K.An introduction to Group Rings[M].Kluwer Acadimic publishers,Dordrecht,2002.
  • 8Passman D S.The Algebraic Structure of Group Rings[M].(New York,1977).
  • 9Lam T Y.A First Course in Noncommutative Rings,Springer[M].New Yerk,2001.
  • 10Yuji Kobayashi,Kwangil Koh,A classification of finite rings by zero divisors[J].Journal of Pure and Applied Algebra,1986(40):135-147.

引证文献1

二级引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部