| 加法幂等半环上幂零矩阵的传递闭包与简化 |
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| 引用本文： | 官明友,谭宜家. 加法幂等半环上幂零矩阵的传递闭包与简化[J]. 福州大学学报(自然科学版), 2009, 37(2) |
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| 作者姓名： | 官明友 谭宜家 |
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| 作者单位： | 官明友,GUAN Ming-you(福州大学数学与计算机科学学院,福建,福州,350002;福建农林大学计算机与信息学院,福建,福州,350002);谭宜家,TAN Yi-jia(福州大学数学与计算机科学学院,福建,福州,350002) |
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| 摘 要： | 给出了加法幂等半环上的幂零矩阵的传递闭包与简化的一些性质,证明加法剩余半环上幂零矩阵的传递闭包与它的简化的传递闭包相等.
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| 关 键 词： | 加法幂等半环 幂零矩阵 传递闭包 简化 |
The transitive closure and the reduction of nilpotent matrices over an additively idempotent semiring |
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| GUAN Ming-you,TAN Yi-jia. The transitive closure and the reduction of nilpotent matrices over an additively idempotent semiring[J]. Journal of Fuzhou University(Natural Science Edition), 2009, 37(2) |
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| Authors: | GUAN Ming-you TAN Yi-jia |
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| Affiliation: | 1.College of Mathematics and Computer Science;Fuzhou University;Fuzhou;Fujian 350002;China;2.College of Computer and Information;Fujian Agriculture and Forest University;China |
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| Abstract: | Some properties of the transitive closure and the reduction of the nilpotent matrices over an additively idempotent semiring are given.And it is proved that the transitive closure of a nilpotent matrix is the same as that of its reduction over an additively residuated semiring. |
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| Keywords: | additively idempotent semirings nilpotent matrix transitive closure reduction |
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