半模正向系上的正向极限及其差模  

The Direct Limit and Their Difference of Module over Semimodule Direct System

作　　者：肖贤民[1] 黄福生[1] 曾慧平[1] 

机构地区：[1]江西师范大学数学与信息科学学院,江西南昌330022

出　　处：《江西师范大学学报（自然科学版）》2009年第1期37-41,51,共6页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：江西省自然科学基金(0611051)资助项目

摘　　要：借助范畴与同调代数理论,讨论了半模上正向极限的函子及其差模,主要证明了半模正向系上正向极限的函子及其差模保持正合性,并讨论了正向极限的差模的若干性质.With the help of the categories and homological algebra theory, we discuss the direct limit functor over direct system of semicodules and their difference of modules. In this paper we prove the direct limit functor over direct system of semimodule and their difference of modules preserve the exactness of the exact sequences of semimodule. In addition, we discuss the characters of difference of module of direct limit.

关 键 词：正向极限 差模 lim→函子 半模正合列 

分 类 号：O153.3[理学—数学]