福建农林大学学报(自然科学版)
福建農林大學學報(自然科學版)
복건농림대학학보(자연과학판)
JOURNAL OF FUJIAN AGRICULTURE AND FORESTRY UNIVERSITY(NATURAL SCIENCE EDITION)
2009年
6期
668-672
,共5页
加法幂等半环%幂零矩阵%同时幂零
加法冪等半環%冪零矩陣%同時冪零
가법멱등반배%멱령구진%동시멱령
additively idempotent semiring%nilpotent matrix%simultaneous nilpotence
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.
探討加法冪等半環上矩陣的同時冪零性,刻畫瞭矩陣同時冪零的等價條件以及同時冪零矩陣的標準形.
탐토가법멱등반배상구진적동시멱령성,각화료구진동시멱령적등개조건이급동시멱령구진적표준형.
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.