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author:

陈锦松 (陈锦松.) [1] | 谭宜家 (谭宜家.) [2]

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CQVIP PKU CSCD

Abstract:

设B={0,1}是二元布尔代数,Cn(r)是B上所有n阶r-循环矩阵组成之集,Gn=∪r=0^n-1 Cn(r)则Gn对二元布尔矩阵的乘法构成一个半群,称它为广义循环布尔矩阵半群.对于半群Gn中任一个固定的非零c-循环矩阵C,在Gn中定义一个新的运算“*”如下:任意A,B∈Gn,A*B=ACB.则(Gn,*)也构成一个半群,称(Gn,*)为(带有三明治矩阵C)的广义循环布尔矩阵三明治半群,并记为Gn(C).本研究刻画了半群Gn(c)中的所有正则元,并且给出求Gn(c)中每一个正则元的所有g-逆的一个方法.

Keyword:

G-逆 三明治半群 广义循环布尔矩阵 正则元

Community:

  • [ 1 ] 福州大学数学与计算机科学学院,福建福州350002

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Source :

福州大学学报:自然科学版

ISSN: 1000-2243

CN: 35-1337/N

Year: 2006

Issue: 2

Volume: 34

Page: 157-161

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count: -1

30 Days PV: 0

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