Higher Level Orderings on Modules

被引：0

作者：

Min WU Key Lab of Mathcmatics Mechanization

机构：

来源：

Acta Mathematica Sinica(English Series) | 2005年 / 21卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Higher level ordering; Commutative ring; Prime ideal; Real module; Real prime submodule MR(2000) Subject Classification 06F25; 12D15; 13J25; 13C99;

D O I：

暂无

中图分类号：

O153.3 [环论];

学科分类号：

070104 ;

摘要：

The aim of this paper is to investigate higher level orderings on modules over commutativerings.On the basis of the theory of higher level orderings on fields and commutative rings,someresults involving existence of higher level orderings are generalized to the category of modules overcommutative rings.Moreover,a strict,intersection theorem for higher level orderings on modules isestablished.

引用

页码：279 / 288

页数：10

共 5 条

[1] On formally real modules
Zeng, GX
[J]. COMMUNICATIONS IN ALGEBRA, 1999, 27 (12) : 5847 - 5856
[2] SPECTRA OF MODULES
LU, CP
[J]. COMMUNICATIONS IN ALGEBRA, 1995, 23 (10) : 3741 - 3752
[3] PRIME SUBMODULES
MCCASLAND, RL
MOORE, ME
[J]. COMMUNICATIONS IN ALGEBRA, 1992, 20 (06) : 1803 - 1817
[4] The intersection theorem for orderings of higher level in rings[J] . Ralph Berr.Manuscripta Mathematica . 1992 (1)
[5] ON RINGS ADMITTING ORDERINGS AND 2-PRIMARY CHAINS OF ORDERINGS OF HIGHER LEVEL
BECKER, E
[J]. MANUSCRIPTA MATHEMATICA, 1989, 65 (01) : 63 - 82

← 1 →