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 |
非负矩阵的[0-单]单子半群 |
The [0-Simple] Simple Subsemigroups of Nonnegative Matrices |
投稿时间:1997-09-26 修订日期:1999-06-25 |
DOI:10.3770/j.issn:1000-341X.2000.03.021 |
中文关键词: 完全[0-单]单 子半群 非负矩阵. |
英文关键词:Completely [0-simple] simple Subsemigroups Nonnegative matrices. |
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 |
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中文摘要: |
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. |
英文摘要: |
In this paper, we investigate the properties of the [0-simple] simple su bsemigroups of nonnegative matrices and show that the [0-simple] simple subs emigroups of Mn(S) are completely [0-simple] simple, where S is a st rong ideal subset of R+ which has no elements less than 1 except 0. Finally, we illustrate that the semigroup of nonnegative matriles is interesting. |
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