摘要
设A和B是S-半模,f:A→B是半模同态.ΔA和Kf分别定义为ΔA={(a,b)∈A×A|a+m=b+m,存在m∈A}和Kf={(a,b)∈A×A|f(a)+m=f(b)+m,存在m∈B}.将Kf和ΔA同时缩小为所规定的Kerf和ΔA,重新给出了monic和epic不同的定义,从不同的角度对某类特殊的半模—可消半模的正合列进行了刻画.
Let A, B be S-semimodule,f:A→ B be homomorphism of semimodule. ˉ△A and Kf are defined as ˉ△A = {( a, b)∈ A × A │ a + m = b+ m,some m ∈ A and Kf = │(a,b) ∈ A ×A │f(a) + m =f(b) + m,some m ∈ B }. Through deflating Kf and ˉ△A synchronously into Kerf and ,54 , reconstructing the definition of monic and epic, the description theorems of exact sequence of cancellable senfimodule, are given from other point of view.
出处
《江西师范大学学报(自然科学版)》
CAS
北大核心
2008年第6期702-704,共3页
Journal of Jiangxi Normal University(Natural Science Edition)
基金
江西省自然科学基金(0511037)
江西省教育厅科研基金(赣教技字[2007]134)资助项目