| INJECTIVE PRECOVERS AND MODULES OF GENERALIZED INVERSE POLYNOMIALS |
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| 引用本文： | LIU Zhongkui. INJECTIVE PRECOVERS AND MODULES OF GENERALIZED INVERSE POLYNOMIALS[J]. 数学年刊B辑(英文版), 2004, 25(1): 129-138 |
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| 作者姓名： | LIU Zhongkui |
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| 作者单位： | LIU Zhongkui Department of Mathematics，Northwest Normal University，Lanzhou 730070，China. |
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| 基金项目： | the National Natural Science Foundation of China (No.10171082)，the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions of the Ministry of Education of China and NWNU-KJCXGC212. |
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| 摘 要： | Let (S,≤) be an ordered set. Recall that (S,≤) is artinian if every strictly decreasingsequence of elements of S is ?nite, and that (S,≤) is narrow if every subset of pairwiseorder-incomparable elements of S is ?nite. Let S be a commutative monoid. Unl…
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| 关 键 词： | 内射预覆盖 逆多项式 有序集 加法群 |
| 收稿时间： | 2016-05-02 |
INJECTIVE PRECOVERS AND MODULES OF GENERALIZED INVERSE POLYNOMIALS |
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| LIU Zhongkui. INJECTIVE PRECOVERS AND MODULES OF GENERALIZED INVERSE POLYNOMIALS[J]. Chinese Annals of Mathematics,Series B, 2004, 25(1): 129-138 |
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| Authors: | LIU Zhongkui |
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| Affiliation: | Department of Mathematics, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | This paper is motivated by S. Park [10] in which the injective cover of left R[x]module M[x-1] of inverse polynomials over a left R-module M was discussed. The author considers the Ω-covers of modules and shows that if η: P → M is an Ωcover of M, then [ηs,≤]: [pS,≤] → [MS,≤] is an [Ωs,≤]-cover of left [[Rs,≤]]-module [MS,≤], where Ω is a class of left R-modules and [Ms,≤] is the left [[Rs,≤]]-module of generalized inverse polynomials over a left R-module M. Also some properties of the injective cover of left [[RS,≤]]-module [Ms,≤] are discussed. |
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| Keywords: | Injective precover ?-cover Module of generalized inverse polynomials Ring of generalized power series |
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