Rings of matrices generated by a companion matrix

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• 作者：Stefan Veldsman (1)
  
• 关键词：ring of matrices ; companion matrix ; Barnett matrix ring ; 16S50 ; 15A30
• 刊名：Acta Mathematica Hungarica
• 出版年：2013
• 出版时间：2 - July 2013
• 年：2013
• 卷：140
• 期：1
• 页码：12-33
• 全文大小：582KB
• 参考文献：1. C. Brown, / Matrices over Commutative Rings, Marcel Dekker (New York, 1993).
  2. G. Dresden and W. M. Dym脿膷ek, Finding factors of factor rings over the gaussian integers, / Amer. Math. Monthly, 112 (2005), 602鈥?11. CrossRef
  3. V. V. Prasolov, / Problems and Theorems of Linear Algebra, Amer. Math. Soc. (1994).
  
• 作者单位：Stefan Veldsman (1)
  
  1. Department of Mathematics and Statistics, Sultan Qaboos University, Muscat, Sultanate of Oman
  
• ISSN：1588-2632

文摘

The regular representation of the quotient of a polynomial ring over the principal ideal determined by h(x) is the ring of matrices generated by the companion matrix of h(x). Properties of such rings, also called Barnett matrix rings, will be investigated.