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.
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.
出处
《福州大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第2期157-161,共5页
Journal of Fuzhou University(Natural Science Edition)
基金
福建省自然科学基金资助项目(2008J0194)
关键词
加法幂等半环
幂零矩阵
传递闭包
简化
additively idempotent semirings
nilpotent matrix
transitive closure
reduction
