i-单内射半模  

i-Simple Injective Semimodules

作　　者：曾慧平[1] ZENG Huiping(Science and Technology College of NCHU,330034,Nanchang,PR)

机构地区：[1]南昌航空大学科技学院,南昌330034

出　　处：《江西科学》2018年第5期705-708,共4页Jiangxi Science

基　　金：国家自然科学基金(11561032);江西省教育厅科学技术研究青年项目(GJJ171520)

摘　　要：作为单内射半模和i-内射半模的共同推广,给出了i-单内射半模的定义,讨论了i-单内射半模与Hom函子的关系,证明了单内射半模与i-内射半模的大部分性质对于i-单内射半模依然成立,同时给出了i-单内射半模的其它性质。As a generalization of simple injective semimodules and i-injective semimodules,the concept of i-simple injective semimodule was introduced. The relationship between i-simple simple injecrive semimodules and Horn （ - ,N） was proved based on the notion. Several results of simple injecrive semimodules and i-injective semimodules also hold for i-simple injective semimodules. Some characterizations and properties of i-simple injective semimodules were given.

关 键 词：单半模 i-单内射半模 i-内射半模 单内射半模 

分 类 号：O153.3[理学—数学]