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弱α-半交换环 被引量:3

On Weak α-semicommutative Rings
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摘要 作为α-半交换环和弱半交换环的推广引入了弱α-半交换环,研究了弱α-半交换环的一些性质和扩张.证明了弱α-半交换环与弱α-斜Armendariz环的关系,特别地,推广了已知的相关结论. Weak α-semicommutative rings is introduced,which is a generalization of α-semicommutative rings and extension of weak α-semicommutative rings.Some extension of weak α-semicommutative rings are studied and their properties are investigated.The relations between weak α-semicommutative rings and weak α-skew Armendariz rings are given.Several known results can be obtained as corollaries of our results.
作者 魏杰 董珺
出处 《兰州工业高等专科学校学报》 2011年第1期8-12,共5页 Journal of Lanzhou Higher Polytechnical College
基金 甘肃省教育厅科研资助项目(0813B-01) 兰州工专校级科技计划项目(10K-011)
关键词 弱α-半交换环 α-半交换环 弱α-斜Armendariz环 约化环 α-刚性环 weak α-semicommutative ring weak α-semicommutative ring weak α-skew Armendariz ring reduced ring α-rigid ring
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参考文献14

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同被引文献8

  • 1BASER M, HARMANCI A, KWAK T K. Generalized semicommutative rings and their extensions [ J ]. Bull. Korean Math. Soc. , 2008, 45 (2) : 285-297.
  • 2MOHAMMADI R, MOUSSAVI A , ZAHIRI M. On nil-Semicommutative rings [ J ]. International Electronic J. of Algebra, 2012(11) : 20-37.
  • 3HABIBI M , MOUSSAVI A. ON nil skew Armendariz rings [ J ]. Asian-European Journal of Mathematics, 2012,5(2) : 1-16.
  • 4HUH C, LEE Y , SMOKTUNOWICZ A. Armendariz rings and semicommutative rings [ J ]. Comm. Algebra, 2002,30(2) :751-761.
  • 5LIU Z K , ZHAO R Y. On weak Armendariz rings [ J ]. Comm. Algebra, 2006, 34 (7) : 2607-2616.
  • 6ZHANG C P, CHEN J L. weak a-skew armendariz rings [J]. J. Korean Math. Soc. , 2010, 47(3) : 455-466.
  • 7HONG C Y , KIM N K ,KWAK T K. On skew Armen- dariz rings [ J ]. Comm. Algebra, 2003, 31 ( 1 ) : 103- 122.
  • 8张培雨,吴俊,丁婷婷.关于拟α-半交换环[J].杭州师范大学学报(自然科学版),2013,12(5):409-412. 被引量:1

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