| 广义逆多项式模的co-Hopf性质 |
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| 引用本文： | 刘仲奎,樊元.广义逆多项式模的co-Hopf性质[J].数学学报,2003,46(3):493-496. |
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| 作者姓名： | 刘仲奎 樊元 |
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| 作者单位： | 1. 西北师范大学数学系,兰州,730070
2. 西北师范大学经济系,兰州,730070 |
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| 基金项目： | 国家自然科学基金资助项目(10171082)，高等学校优秀青年教师教学科研奖励计划资助项目 |
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| 摘 要： | 设R是结合环(可以没有单位元),(S,≤)是严格全序幺半群,序≤是Artin的且对任意s∈S,有0≤s,则对任意具有性质(F)的左R-模M,MS,≤]是co-Hopf左RS,≤]]一模当且仅当M是co-Hopf左R-模.
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| 关 键 词： | co-Hopf模 广义幂级数 广义逆多项式 |
| 文章编号： | 0583-1431(2003)03-0493-04 |
| 修稿时间： | 1998年10月14 |
Co-Hopfian Modules of Generalized Inverse Polynomials |
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| Zhong Kui LIU.Co-Hopfian Modules of Generalized Inverse Polynomials[J].Acta Mathematica Sinica,2003,46(3):493-496. |
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| Authors: | Zhong Kui LIU |
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| Institution: | Zhong Kui LIU (Department of Mathematics, Northwest Normal University, Lanzhou 730070, P. R. China)
Yuan FAN (Department of Economics, Northwest Normal University, Lanzhou 730070, P. R. China) |
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| Abstract: | Let R be an associative ring not necessarily possessing an identity, and (S, ≤) a strictly totally ordered monoid which is also artinian and satisfies that 0 ≤ s for any s ∈ S. Assume that M is a left .R-module having property (F). It is shown that M is a co-Hopfian left R-module if and only if MS,≤] is a co-Hopfian left RS,≤]]-module. |
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| Keywords: | Co-Hopfian module Generalized power series Generalized inverse polynomials |
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