Abel范畴中态射乘积诱导的短正合列及其应用  

Theshort Exact Seqliences Induced by Product of Morphism and Their Applications in Abel Categories

作　　者：李桃生[1] 

机构地区：[1]华中师范大学数学系

出　　处：《数学学报（中文版）》1995年第6期732-737,共6页Acta Mathematica Sinica：Chinese Series

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.

关 键 词：ABEL范畴 态射 短正合列 交换图 乘积 

分 类 号：O154[理学—数学]