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非负矩阵的[0-单]单子半群
引用本文:张荣华,李秀妮,钱双平.非负矩阵的[0-单]单子半群[J].数学研究及应用,2000,20(3):437-440.
作者姓名:张荣华  李秀妮  钱双平
作者单位:1. 云南大学基础数学研究所,昆明650091
2. 云南大学成人教育学院,昆明650091
3. 云南广播电视大学理工部,昆明650023
基金项目:国家自然科学基金(97A008R)和云南省科委基金资助项目
摘    要:本文研究非负矩阵[0-单]单子半群,特别证明Mn(S)的[0-单]单子半群是完全[0-单]单的,其中S是强理想除0外每个元素都大于或等于1.最后举例说明非负矩阵 半群是一类有趣的半群.

关 键 词:完全[0-单]单    子半群    非负矩阵.
收稿时间:1997/9/26 0:00:00
修稿时间:1999/6/25 0:00:00

The [0-Simple] Simple Subsemigroups of Nonnegative Matrices
ZHANG Rong-hu,LI Xiu-ni and QIAN Shuang-ping.The [0-Simple] Simple Subsemigroups of Nonnegative Matrices[J].Journal of Mathematical Research with Applications,2000,20(3):437-440.
Authors:ZHANG Rong-hu  LI Xiu-ni and QIAN Shuang-ping
Institution:Institute of Pure Mathematics, Yunnan University, Kunming 650091, China;Adult Education College, Yunnan University, Kunming 650091, China;Department of Science and Engineering, Yunnan Broadcasting and Television University, Kunming 650023, China
Abstract:In this paper, we investigate the properties of the 0-simple] simple subsemigroups of nonnegative matrices and show that the 0-simple] simple subsemigroups of Mn(S) are completely 0-simple] simple, where S is a strong ideal subset of R which has no ele- ments less than 1 except 0. Finally, we illustrate that the semigroup of nonnegative matriles is interesting.
Keywords:Completely [0-simple] simple  Subsemigroups  Nonnegative matrices  
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