伪极小内射半模  

Pseudo-mininjective semimodules

作　　者：曾慧平[1] 吴蕾[1] 王海威[1] ZENG Huiping;WU Lei;WANG Haiwei(Science and Technology College,Nanchang Hangkong University,Nanchang 330034,China)

机构地区：[1]南昌航空大学科技学院,江西南昌330034

出　　处：《安徽大学学报（自然科学版）》2018年第6期37-40,共4页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11561032);江西省教育厅科学技术研究项目(GJJ171520)

摘　　要：作为伪内射半模与相对极小内射半模的共同推广,给出伪极小内射半模的定义,并对这一新的半模类进行了研究.证明伪内射半模和相对极小内射半模的部分性质对于伪极小内射半模仍然成立,给出伪极小内射半环的定义并得到部分性质.As a generalization of pseudo-injective semimodules and relative mininjective semimodules,the concept of pseudo-mininjective semimodule was introduced.Some characterizations and properties of pseudo-mininjective semimodule were given,and several results of pseudo-injective semimodules and relative mininjective semimodules also hold for pseudo-mininjective semimodules.Finally,the concept of pseudo-mininjective semirings was given and some results were proved.

关 键 词：极小子半模 伪极小内射半模 伪极小内射半环 零化子 

分 类 号：O153.3[理学—数学]