【摘要】 通过含单位元的交换环的实素理想构造出对应的模的实素子模,得到模的序存在的一个充要条件,并对模的所有序的支集的交集(文中称作"模的核心")作出一定的刻划,找到了判断模中的元素属于模的核心的充要条件.更多还原

【Abstract】 The main aim of this paper is to obtain a sufficient and necessary condition for existent of orderings on a module through obtaining a real prime submodule corresponding the real prime ideal of a commutative ring with identity 1.Then,the intersection of all orderings on a module(It is intitule "The Core on a Real Modul" in this paper) are characterized.The most important conclusion in this paper is a sufficient and necessary condition is obtained for judging a element of modul belongs to the core of modul.更多还原