3阶矩阵环与一些特殊非交换环上的幂映射图
摘要
本文主要讨论了有限域Fq上的3阶矩阵环中一些特殊矩阵类性质,计算了的k次幂映射图的入度等特征,最后还得到了特殊的半直积上的非交换环的幂映射图的一些结论。
引文
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[2] Ahmad U , Moeen M . The digraphs arising by the power maps of generalized quaternion groups[J]. Journal of Algebra and Its Applications,2016(5):1750179.
[3] Lucheta C, Miller E, Reiter C. Digraphs from powers modulo p[J]. Fibonacci Quart,34(3)(1996):226-239.[4 Rogers T D . The graph of the square mapping on the prime fields [J]. Discrete Mathematics,1996,148(1-3):317-324.
[5] Sha M , Hu S . Monomial Dynamical Systems of Dimension One over Finite Fields[J]. Acta Arithmetica,2011,148(4):309-331.
[6] Robert F. Discrete Iterations [M]. Springer Press,1986.
[7] Laubenbacher R , Jarrah A S . Algebraic models of biochemical networks[J]. Methods in Enzymology,2009,467(C):163.
[8] LAUBENBACHER R, BAREIGIS B. Equivalence relations on finite dynamical systems [J]. Adv. in Appl. Math,2001(5):237-251.