Chinese Quarterly Journal of Mathematics ›› 2005, Vol. 20 ›› Issue (4): 355-359.

Previous Articles     Next Articles

On the Group of Units for the Ring of Linear Transformations

  

  1. 1. Department of Mathematics and Information Science, Luoyang Teacher's College, Luoyang 471022, China; 2. Teacher's College, Luoyang University, Luoyang 471039, China
  • Received:2005-06-16 Online:2005-12-30 Published:2024-01-03
  • About author:ZHANG Guang-hui(1973-),male,native of Yexian,Henan,a lecturer of Luoyang Teacher's College,M.S.D.,engages in algebra and its applications;SUN Ying-de(1962-),male,native of Huaiyang,Henan, an associate professor of Luoyang University,engages in algebra and number theory.
  • Supported by:
     Supported by the NSF of Educational Department of Henan Province(200510482001);

Abstract: In this paper, we introduce a practical method for obtaining the structure of the group of units for the ring of linear transformations of a vector space over an arbitrary field, and we give a further generalization of the result in [3].

Key words: semidirect product, linear transformation, normal group, basis

CLC Number: