摘要
本文给出了Ａｂｅｌ范畴中态射乘积αβγ诱导的短正合列的立体交换图。其中共有７个３×３平面，３０条线。每一条线（两端的零对象省略）都是一个短正合列．这些短正合列用到ｐ－除环上的矩阵，可以导出一系列矩阵秩的恒等式，它不仅推广了域上矩阵秩的结果，还能得到一些新的关系式．
In the paper we give solid commulative diagram of short exact sequences induced by product αβγof morphisms. There are seven 3 × 3 planes,30 lines in the commutative diagram,every line (zero object of both ends be omitted)is a short exact sequence。These short exact sequences can induce a series of identity on the rank of matrices over p-division ring.Our resuhts not only generalize some results of rank of matrices over field,also can obtain some new dependence relations and formulas.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
1995年第6期732-737,共6页
Acta Mathematica Sinica：Chinese Series
关键词
ABEL范畴
态射
短正合列
交换图
乘积
Abel category,morphism,short exact sequence,p-division ring,rank of matrix
