交换群层的正合序列与同态定理

Exact Sequences and Homomorphism Theorems on Sheaf of Abelian Groups

在交换群层 (简称层 )中给出了层的单 (满 )同态核与上核的泛性定理及正合交换图的一系列结论 ,进而证明了交换群层的同态 (同构 )定理 .

This paper introduces the concepts of exact sequences and their commutative diagram of sheaf (of Abelian Groups). While it proves the universal property theorems and a series of consequences of kernel and cokernel on sheaf. By means of which it derives the homomorphism (isomorphism) theorems of sheaf.