在线阅读 --自然科学版 2011年3期《关于S-系的局部化》
关于S-系的局部化--[在线阅读]
梁星亮, 乔丽
西北师范大学数学与信息科学学院, 甘肃兰州 730070
起止页码: 220--224页
DOI:
摘要
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.

On the Localization of S-acts
LIANG Xingliang, QIAO Li
College of Mathematics and Information Science, Northwest Normal University, Gansu Lanzhou 730030, China
Abstract:
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.

收稿日期: 2010-10-15
基金项目: 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)

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