s-内射半模  

s-Injective Semimodules

作　　者：曾慧平[1] 

机构地区：[1]南昌航空大学科技学院,江西南昌330034

出　　处：《湘潭大学自然科学学报》2017年第3期1-4,共4页Natural Science Journal of Xiangtan University

基　　金：国家自然科学基金项目(11561032)

摘　　要：给出s-内射半模的概念,并在此基础上刻画了s-内射半模与Hom函子关系,给出了s-内射半模的等价刻画,并证得s-内射半模的直积仍保持是s-内射半模.最后定义了LPID半环,并讨论了LPID半环条件下s-内射半模的性质刻画.The concept of s - inject ive semimodules is given in this paper. The relat ionship between s - injec-t ive semimodules and Hom（-,N） was introduced based on the not ion on the further. That the direct product of 5 -inject ive semimodules are still 5 - in je c t iv e semimodules was proved. At las t, cha rac te rizations of 5 - in je c -t ive semimodules are given based on the condi t ion of LPID semir ings.

关 键 词：small理想 s-内射半模 LPID半环 短真正合列 短正合列 

分 类 号：O153.3[理学—数学]