湖南文理学院学报（自然科学版）
湖南文理學院學報（自然科學版）
호남문이학원학보（자연과학판）
JOURNAL OF HUNAN UNIVERSITY OF ARTS AND SCIENCE(SCIENCE AND TECHNOLOGY)
2013年
2期
1-3
,共3页
张炳村%蔡梦%黄礼平
張炳村%蔡夢%黃禮平
장병촌%채몽%황례평
体%矩阵减序%广义逆
體%矩陣減序%廣義逆
체%구진감서%엄의역
division ring%minus order of matrices%generalized inverse
定义了体上矩阵减序，将减序推广到任意有单位元的环上矩阵，并对其性质作了一个简明的讨论。应用体上矩阵理论，证明了体上矩阵减序的5个充要条件。
定義瞭體上矩陣減序，將減序推廣到任意有單位元的環上矩陣，併對其性質作瞭一箇簡明的討論。應用體上矩陣理論，證明瞭體上矩陣減序的5箇充要條件。
정의료체상구진감서，장감서추엄도임의유단위원적배상구진，병대기성질작료일개간명적토론。응용체상구진이론，증명료체상구진감서적5개충요조건。
The benefit of this definition is that the minus partial order was extended to matrices over any ring with identity element. The properties was discussed concisely for the minus partial order of matrices over a division ring. Applying the theory of matrices over a division ring, 5 sufficient and necessary conditions for the minus partial order of matrix over division ring were proven.
