Chinese Quarterly Journal of Mathematics ›› 2002, Vol. 16 ›› Issue (3): 1-8.

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Möbius Function and Its Inversion Formulas over a Unique Factorization Integral Semigroup

  

  1. 海南师范大学数学系大连理工大学应用数学系大连理工大学应用数学系 海南海口571158大连理工大学应用数学系辽宁大连116023

  • Received:2001-02-15 Online:2002-09-30 Published:2024-04-25
  • About author:YOU Lin(1968-)‚male‚native of Linchuan‚Jiangxi‚an associate professor of Hainan Normal University‚ candidate for Ph.D.degree of Dalian University of Technology‚engages in algebra‚number theory‚combinatorics and cryptography;WANG Tian-ming(1939-)‚male‚native of Dalian‚Liaoning‚a professor of Dalian University of Technology‚engages in combinatorcis.
  • Supported by:
    Supported by the Natural Science Foundation of Hainan Province(10002)

Abstract: 陈兆斗首先在文献 [1 ]中定义出了有单位元并满足消去律的唯一分解交换半群上的M bius函数。本文我们首先证明了M bius函数作为半群 (M1, )上的元素是常值函数ζ( ·)的逆函数。其后获得了该M bius函数的一些相关结果并给出了三个M bius反演公式

Key words:  , 唯一分解整半群, Mbius函数, Mbius反演公式,

CLC Number: