Higher Level Orderings on Modules

被引：0
作者：
Min Wu
Guang Xing Zeng*
机构：
[1] Academy of Mathematics and Systems Science,Lab of Mathematics Mechanization
[2] Chinese Academy of Sciences,Graduate School of the Chinese Academy of Sciences
[3] Nanchang University,Department of Mathematics
来源：
Acta Mathematica Sinica | 2005年 / 21卷
关键词：
Higher level ordering; Commutative ring; Prime ideal; Real module; Real prime submodule; 06F25; 12D15; 13J25; 13C99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The aim of this paper is to investigate higher level orderings on modules over commutative rings. On the basis of the theory of higher level orderings on fields and commutative rings, some results involving existence of higher level orderings are generalized to the category of modules over commutative rings. Moreover, a strict intersection theorem for higher level orderings on modules is established.
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页码：279 / 288
页数：9
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