摘要
对于交换半环,引入了一种新的局部化定义,讨论了该定义意义下局部化的若干性质;证明了有限个交换半环直积的局部化同构于局部化的直积;证明了交换半环局部化具有泛性质。
The main results obtained in this paper are as follows: For a commutative semi-ring, we (introduce) a new definition for localization, and discuss its properties; For commutative semi-rings A_1,A_2,…, and A_n, it is proved that the localization of the direct product A_1×A_2×…×A_n is isormorphic to the direct product of the localizations of A_1,A_2,…,and A_n; It is proved that the localization of a (commutative) semi-ring possesses the universal property.
出处
《长沙交通学院学报》
2005年第2期10-14,共5页
Journal of Changsha Communications University
基金
湖南省自然科学基金资助项目(03JJY6017)
湖南省教育厅科学研究项目(04C502)
关键词
交换半环
局部化
泛性质
commutative semi-rings
localization
universal property
