陈欣, 李保红. 模n 剩余类环中元素的周期分布规律[J]. 信阳师范学院学报(自然科学版), 2000, 13(1): 4-6.
引用本文: 陈欣, 李保红. 模n 剩余类环中元素的周期分布规律[J]. 信阳师范学院学报(自然科学版), 2000, 13(1): 4-6.
CHEN Xin 1, LI Bao-hong 2. Laws for periods of elements in Z/(n)[J]. Journal of Xinyang Normal University (Natural Science Edition), 2000, 13(1): 4-6.
Citation: CHEN Xin 1, LI Bao-hong 2. Laws for periods of elements in Z/(n)[J]. Journal of Xinyang Normal University (Natural Science Edition), 2000, 13(1): 4-6.

模n 剩余类环中元素的周期分布规律

Laws for periods of elements in Z/(n)

  • 摘要: 证明了模n 剩余类环中元x 具有周期的充要条件是n/gcd( x ,n) 与gcd( x ,n) 互素,给出了 T 是Z/( n) 中某元的周期的充要条件.

     

    Abstract: It is proved that an element x in the residual ring Z/(n) has a period if and only if n/ gcd (x,n) and gcd(x,n) are relatively prime.Some necessary and sufficent conditions under which T is the period of some elements in Z/(n) are given.

     

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