交换群层的正合序列与同态定理  

Exact Sequences and Homomorphism Theorems on Sheaf of Abelian Groups

作　　者：林新棋[1] 李长安[1] 陈清华[1] 

机构地区：[1]福建师范大学数学系,福州350007

出　　处：《数学研究》2001年第2期193-198,共6页Journal of Mathematical Study

摘　　要：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.

关 键 词：交换群层 正合序列 正合交换图 单同态核 满同态核 同态定理 同构定理 

分 类 号：O154[理学—数学]