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文章基本信息

  • 标题:On a problem of commutativity of automorphims
  • 本地全文:下载
  • 作者:M. Anwar Chaudhry ; A. B. Thaheem
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:1998
  • 卷号:21
  • 期号:2
  • 页码:411-412
  • DOI:10.1155/S016117129800057X
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    In this note we provide a partial answer to a problem proposed by M. Brehr. We prove that if α , β are automorphisms of a commutative prime ring of characteristic not equal to 2 satisfying the equation α + α − 1 = β + β − 1 , then either α = β or α = β − 1 . As a consequence α and β commute and in this situation the equation itself ensures the commutativity of α and β .

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