纺织高校基础科学学报2016，Vol.29Issue(3)：294-298,5.DOI:10.13338/j.issn.1006-8341.2016.03.004
半环上矩阵的加权群逆
Weighted group inverses of matrices over semirings
摘要
Abstract
In order to study the weighted group inverses of matrices over a semiring,group in-verses of matrix and T-V inverse are introduced.The existence and uniqueness of weighted group inverses over a semiring is analysed.Some necessary and sufficient conditions of product of three matrices the weighted group inverses over a semiring are obtianed,and the expressions of the weighted group inverses over a semiring are given.The obtained results generalize some conclusions for group inverses of square matrices over a semiring.关键词
半环/加权群逆/余格Key words
semiring/weighted group inverses/congruence lattice分类
数理科学引用本文复制引用
杨阳,任苗苗,王锦钰..半环上矩阵的加权群逆[J].纺织高校基础科学学报,2016,29(3):294-298,5.基金项目
中国博士后科学研究基金资助项目(2011M501466) （2011M501466）
陕西省自然科学专项基金资助项目(2011JQ1017) （2011JQ1017）
陕西省教育厅自然科学研究基金资助项目(2012JK0872) （2012JK0872）
西北大学科学研究基金资助项目(09NC25) （09NC25）
