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.
出处
《湘潭大学自然科学学报》
北大核心
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)
