The primitive matrices of sandwich semigroups of generalized circulant Boolean matrices  

作　　者：LIU Jian-ping CHEN Jin-song 

机构地区：[1]College of Mathematics and Computer Science,Fuzhou University [2]College of Mathematics and Computer Science, Hunan Normal University

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2013年第3期311-320,共10页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China(11071272,11101087);the Postdoctoral Science Foundation of China(2013M531785);the Natural Science Foundation of Fujian Province(2013J05006);the Foundation of Fuzhou University(2012-XQ-30)

摘　　要：Let Gn（C） be the sandwich semigroup of generalized circulant Boolean matrices with the sandwich matrix C and Gc（Jr~） the set of all primitive matrices in Gn（C）. In this paper, some necessary and sufficient conditions for A in the semigroup Gn（C） to be primitive are given. We also show that Gc（Jn） is a subsemigroup of Gn（C）.Let Gn（C） be the sandwich semigroup of generalized circulant Boolean matrices with the sandwich matrix C and Gc（Jr~） the set of all primitive matrices in Gn（C）. In this paper, some necessary and sufficient conditions for A in the semigroup Gn（C） to be primitive are given. We also show that Gc（Jn） is a subsemigroup of Gn（C）.

关 键 词：generalized circulant Boolean matrix sandwich semigroup primitive matrix. 

分 类 号：O152.7[理学—数学]