Higher Level Orderings on Modules  

作　　者：MinWU GuangXingZENG 

机构地区：[1]KeyLabofMathematicsMechanization,AcademyofMathematicsandSystemsScience,Beijing100080,P.R.China//GraduateSchooloftheChineseAcademyofSciences,ChineseAcademyo]Sciences,Beijing100039,P.R.China [2]DepartmentofMathematics,NanchangUniversity,Nanchang330047,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2005年第2期279-288,共10页数学学报（英文版）

基　　金：1)Project supported hy the National Natural Science Foundation of China,Grant No,19661002

摘　　要：The aim of this paper is to investigate higher level orderings on modulesover commutative rings. On the basis of the theory of higher level orderings on fields andcommutative rings, some results involving existence of higher level orderings are generalized to thecategory of modules over commutative rings. Moreover, a strict intersection theorem for higherlevel orderings on modules is established.The aim of this paper is to investigate higher level orderings on modulesover commutative rings. On the basis of the theory of higher level orderings on fields andcommutative rings, some results involving existence of higher level orderings are generalized to thecategory of modules over commutative rings. Moreover, a strict intersection theorem for higherlevel orderings on modules is established.

关 键 词：higher level ordering commutative ring prime ideal real module real primesubmodule 

分 类 号：O153[理学—数学]