| Higher Level Orderings on Modules |
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| 作者姓名： | MinWU GuangXingZENG |
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| 作者单位： | [1]KeyLabofMathematicsMechanization,AcademyofMathematicsandSystemsScience,Beijing100080,P.R.China／／GraduateSchooloftheChineseAcademyofSciences,ChineseAcademyo]Sciences,Beijing100039,P.R.China [2]DepartmentofMathematics，NanchangUniversity,Nanchang330047,P.R.China |
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| 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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| 关 键 词： | 高级排序 连通环 素理想 实素子模 |
| 收稿时间： | 26 June 2002 |
Higher Level Orderings on Modules |
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| MinWU GuangXingZENG.Higher Level Orderings on Modules[J].Acta Mathematica Sinica,2005,21(2):279-288. |
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| Authors: | Min Wu Guang Xing Zeng |
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| Institution: | (1) Lab of Mathematics Mechanization, Academy of Mathematics and Systems Science, Beijing 100080, P. R. China;(2) Graduate School of the Chinese Academy of Sciences, Chinese Academy of Sciences, Beijing 100039, P. R. China;(3) Department of Mathematics, Nanchang University, Nanchang 330047, P. R. China |
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| Abstract: | 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.
*Project supported by the National Natural Science Foundation of China, Grant No. 19661002 |
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| Keywords: | Higher level ordering Commutative ring Prime ideal Real module Real prime submodule |
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