单内射半模  

Simple-Injective Semimodules

作　　者：曾慧平[1] 刘浩广[1] 

机构地区：[1]南昌航空大学科技学院,南昌330034

出　　处：《江西科学》2016年第5期596-598,共3页Jiangxi Science

基　　金：国家自然科学基金(11561032);江西省教育厅青年科学基金(No.GJJ14541)

摘　　要：给出单内射半模的概念,并在此基础上刻画了单内射半模与Hom函子关系。给出了单内射半模的等价刻画,并证得单内射半模的直积仍保持是单内射半模,单内射半模的商半模仍然是单内射半模的条件。The concept of relative simple-injective semimodules is given on this paper. The relationship between simple-injective semimodules and Hom（-,N） was introduced based on the notion on the further. That the direct product of simple-injective semimodules are still simple-injective semimodules was proved. Moreover,the conditions of factor semimoudules of simple-injective semimodules are still simple-injective semimodules are given.

关 键 词：单子半模 单内射半模 短真正合列 短正合列 

分 类 号：O153.3[理学—数学]