The primitive matrices of sandwich semigroups of generalized circulant Boolean matrices

The primitive matrices of sandwich semigroups of generalized circulant Boolean matrices

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...

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Veröffentlicht in:Applied Mathematics-A Journal of Chinese Universities 2013-09, Vol.28 (3), p.311-320
Hauptverfasser: Liu, Jian-ping, Chen, Jin-song
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Mathematics
Mathematics and Statistics
三明治
充分条件
半群
广义
循环布尔矩阵
本原矩阵
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Zusammenfassung: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）.
ISSN:1005-1031
1993-0445
DOI:10.1007/s11766-013-3067-0