关于P-主弱内射系的特征  

On the characterizations of P-principally weakly injective acts

作　　者：乔虎生 袁莹民 QIAO Hu-sheng;YUAN Ying-min(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《山东大学学报（理学版）》2022年第10期6-10,共5页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11961058)。

摘　　要：设S是幺半群,P是S的非空子集。基于P中任意元素生成的主右理想的嵌入定义的一类新的主弱内射系,称之为P-主弱内射系。利用这类新的性质给出了一些新的幺半群类的刻画。Let S be a monoid and P be a nonempty subset of S. A new kind of principally weakly injective act is defined, which is based on the embedding principal right ideals generated by elements in P and is called P-principally weakly injective act. Using this new property, the characterizations of some new classes of monoids are given.

关 键 词：S-系 P-主弱内射 主弱内射 

分 类 号：O152.7[理学—数学]