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弱对称环 被引量:4

On weakly symmetric rings
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摘要 环R是弱对称环当且仅当R上的n×n上三角矩阵环Tn(R)是弱对称环;对称环上的多项式环是弱对称环. A ring R is weakly symmetric if and only if for any n, the n × n upper triangular matrix ring Tn (R) is weakly symmetric; the polynomial ring R[x] over a symmetric ring is weakly symmetric.
作者 张春霞
出处 《西北师范大学学报(自然科学版)》 CAS 2006年第1期24-26,共3页 Journal of Northwest Normal University(Natural Science)
关键词 对称环 弱对称环 上三角矩阵环 symmetric ring weakly symmetric ring upper triangular matrix ring
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参考文献2

  • 1ANDERSON D D, CAMILLO V. Semigroups and rings whose zero products commute[J]. Comm Algebra, 1999, 27(6): 2847-2852.
  • 2KIN N K, LEE Y. Extensions of reversible rings[J]. J Pure Appl Algebra, 2003, 185; 207-223.

同被引文献25

  • 1王占平.Extensions of Symmetric Rings[J].Journal of Mathematical Research and Exposition,2007,27(2):229-235. 被引量:3
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  • 4Zhao Liang,Yang Gang.On weakly reversible rings[J].Acta Math Univ Comenianae,2007,126:189-192.
  • 5Shin G,Prime ideals and sheaf representation of a pseudo symmetric rings[J].Trans Amer Math Soc,1973,184:43-60.
  • 6Liu Zhong-kui,Zhao Ren-yu.On weak Armendariz ring[J].Comm Algebra,2006,34:2607-2616.
  • 7Dinh Van Huynh,Park J K.On rings whose prime radical contains all nilpotent elements of index two[J].Arch Math,1996,66:360-365.
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  • 9Huh C,Lee Y,Smoktunowicz A.Armendariz rings and semicommutative rings[J].Comm Algebra,2002,30:751-761.
  • 10Kim N K, Lee Y. Extensions of reversible rings [ J ]. Pure Appl Algebra,2003,185 : 207-233.

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