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一类矩阵环的斜Amenderiz性质
引用本文:吴建春,王彦军.一类矩阵环的斜Amenderiz性质[J].甘肃联合大学学报(自然科学版),2011,25(4):39-42.
作者姓名:吴建春  王彦军
作者单位:酒泉职业技术学院,甘肃酒泉,735000
摘    要:当环R是α-rigid环时,环R上的三角矩阵环一般不是斜α-Armenderiz环.在这篇文章中,我们研究了一类特殊的上三角矩阵环Sn(R)是α-斜Armenderiz环,给出了Sn(R)矩阵环的性质,找到并证明了n=2k≥4时矩阵环Sn(R)的极大α-斜Armendariz子环.

关 键 词:redued环  斜Armenderiz环  斜α-Armenderiz环  矩阵环  Armenderiz子环

On the Inclined Amenderiz Nature of a Class of Matrix Rings
WU J ian-chun,WANG Yan-jun.On the Inclined Amenderiz Nature of a Class of Matrix Rings[J].Journal of Gansu Lianhe University :Natural Sciences,2011,25(4):39-42.
Authors:WU J ian-chun  WANG Yan-jun
Institution:(Jiuquan Vocational and Technical College,Jiuquan 735000,China)
Abstract:When the ring R is a α-rigid ring,the triangular matrix ring of the ring R is generally not the inclined-Armenderiz ring.In this paper,a special class of upper triangular matrix rings Sn(R) was studied,which is the inclined α-Armenderiz ring,and its related properties were given.
Keywords:redued ring  inclined Armenderiz ring  inclined-Armenderiz ring  matrix ring  Armenderiz subring
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