纯投射半模  

Pure projective semimodules

作　　者：黄福生[1] 顾腾[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：《南昌大学学报（理科版）》2011年第3期224-227,共4页Journal of Nanchang University(Natural Science)

基　　金：江西自然科学基金资助项目(0611051)

摘　　要：为研究半环上的纯投射性,先给出了纯子半模和纯真正合列的概念及其相关性质;接着定义了纯投射半模并讨论了纯投射半模与共变函子Home(P,-)的关系,以及纯投射半模的直和性和可裂性;最后探讨了纯投射半模与投射半模的关系,给出了在完全纯半环上,纯投射半模就是投射半模。To study the property of pure projective on semiring, pure subsemimodule and pure proper exact sequence are introduced firstly. According, the notion of pure projective semimodule and the pure projective semimodule and functor Horn（P,-） were discussed. In addition,the characters of direct sum and split had been proved. Finally,the relationship between the pure projective semimodule and pure projective module was investigated,and the result that pure projective semimodule is pure projective module on the complete pure semiringwas obtained.

关 键 词：纯子半模 纯真正合列 纯投射半模 完全纯半环 

分 类 号：O153.3[理学—数学]