Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (3): 383-387.

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Inverses and Powers of Matrices over an Incline

  

  1. 1. College of Sciences, Shanghai Institute of Technology  2. School of Mathematics, Baotou Teachers College 

  • Received:2008-09-25 Online:2011-09-30 Published:2023-04-19
  • About author:DUAN Jun-sheng(1965-), male, native of Huhhot, Inner Mongolia, Ph.D., a professor of Shanghai Institute of Technology, engage in applied mathematics.
  • Supported by:
    Supported by the Innovation Program of Shanghai Municipal Education Commission(11YZ225);

Abstract: Invertible conditions, indices and periods of matrices over an incline are considered. In all proofs multiplicative commutativity is not used. Some results about invertibility, indices and periods in a commutative incline are proved to be correct also for any incline.

Key words: incline, invertible matrices, indices, periods

CLC Number: