关于S-系的局部化  

On the Localization of S-acts

作　　者：梁星亮[1] 乔丽[1] 

机构地区：[1]西北师范大学数学与信息科学学院,甘肃兰州730070

出　　处：《河北师范大学学报（自然科学版）》2011年第3期220-224,共5页Journal of Hebei Normal University：Natural Science

基　　金：高等学校博士学科点专项基金(20096203120001);西北师范大学科研基金(nwnu-kjcxgc-03-68)

摘　　要：设S是幺半群,借助环与模范畴中的方法,讨论了半群S-系局部化的若干性质得到了S-系局部化的泛性质,并证明了T-1S的素理想和S中与T不相交的理想有一个保序的双射T-1P■P.Let S be a monoid.According to the definition of the localization of S-acts,some properties of the localization are mainly discussed by the method of rings and modules,it is obtained that the localization of semigroup S-acts satisfies the universal property.It is proved that there is a one-to-one order preserving correspondence between the prime ideals of T-1S and the prime ideals of S disjoint from T given by T-1P←→P.

关 键 词：交换半群 S-系 局部化 泛性质 

分 类 号：O152.7[理学—数学]