浙江大学学报（理学版）2011，Vol.38Issue(5)：489-494,6.DOI:10.3785/j.issn.1008-9497.2011.05.001
广义循环布尔矩阵三明治半群中的完全正则元
The fully regular elements of the sandwich semigroup of generalized circulant Boolean matrices
摘要
Abstract
Let n be a positive integer,and Cn (r) be the set of all n × n r-circulant matrices over the Boolean algebra B ={0,1},Gn=n-1∪r=0 Cn(r).For any fixed r-circulant matrix C(C≠0) in Gn.Define an operation “ * ” in Gn:A * B=ACB for any A,B in Gn,where ACB is the usual product of Boolean matrices.Then (Gn,* ) is a semigroup.We denote this semigroup by Gn (C) and call it the sandwich semigroup of generalized circulant Boolean matrices with sandwich matrix C.In this paper,the fully regular elements in Gn (C) are characterized.The algorithm to find all the fully regular elements of A in Gn (C) is given.关键词
广义循环布尔矩阵/三明治半群/完全正则元Key words
generalized circulant Boolean matrix/sandwich semigroup/fully regular element分类
数理科学引用本文复制引用
陈锦松,谭宜家..广义循环布尔矩阵三明治半群中的完全正则元[J].浙江大学学报（理学版）,2011,38(5):489-494,6.基金项目
Supported by NSFC(No.11026183) and Fujian Province (2010J05005) and the Fund of Fuzhou University (2010-XQ-23,XRC-0957). （No.11026183）
