非零i-内射半模的存在性  

The Existence of Non-Zero i-Injective Semimodules

作　　者：曾慧平[1] 黄福生[1] 肖贤民[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4期494-497,500,共5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：证明了在任意真半环上存在非零的i-内射半模,并得到了i-内射半模的域对可减子半模和商半模是封闭的.In this paper , we prove that there is exist non-zero i-injective semimodule over arbitrary proper semirings, and get the result that the domain of i-injective semidule is closed for substract subsemimodules and factor semimodules.

关 键 词：内射半模 i-内射半模 i-内射半模域 真半环 

分 类 号：O153.3[理学—数学]