融合余积A ■^(B)A的性质  

Properties of amalgamated coproduct A■^(B)A

作　　者：李晓霞 乔虎生 LI Xiao-xia;QIAO Hu-sheng(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11-15,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,A是右S-系,B是A的真子系,研究了一般性的融合余积A■^(B)A。若A为S, B为S的真右理想I,则融合余积A■^(B)A就是研究幺半群同调分类的重要工具A(I)。讨论了融合余积ABA分别满足条件(E′),条件(EP),条件(PF)等性质的等价刻画。最后推广了A(I)的相应结论。Let S be a monoid,A a right S-act and B a proper subact of A. The general amalgamated coproduct A■^(B)A is investigated.If taking A be S,B is the proper right ideal of S,then amalgamated coproduct A■^(B)A is exactly the important tool A(I)to study the homological classification of monoids. We discuss the equivalent characterizations of the amalgamated coproduct A■^(B)A satisfying condition(E′),condition(EP),condition(PF),etc. Finally,the corresponding results of the A(I)is generalized.

关 键 词：融合余积 右S-系 子系 

分 类 号：O152.7[理学—数学]