摘要
探讨加法幂等半环上矩阵的同时幂零性,刻画了矩阵同时幂零的等价条件以及同时幂零矩阵的标准形.
The simultaneous nilpotency of matrices over an additively idempotent semiring was discussed, and some necessary and sufficient conditions for matrices to be simultaneously nilpotent were obtained. A canonical form for the simultaneous nilpotency of matrices was also given.
出处
《福建农林大学学报（自然科学版）》
CSCD
北大核心
2009年第6期668-672,共5页
Journal of Fujian Agriculture and Forestry University:Natural Science Edition
基金
福建农林大学青年教师科研基金资助项目(08B23)
关键词
加法幂等半环
幂零矩阵
同时幂零
additively idempotent
semiring
nilpotent matrix
simultaneous nilpotence
