| Duo模的推广 |
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| 引用本文： | 张培刚.Duo模的推广[J].甘肃科学学报,2009,21(1):5-6. |
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| 作者姓名： | 张培刚 |
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| 作者单位： | 兰州理工大学,理学院,甘肃,兰州,730050 |
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| 摘 要： | 作为Duo模的真推广，引入了kernelduo模的概念，并给出了其相关性质．证明了kernelduo模的任意直和项是kernelduo模．设M=ni=1Mi，Mi（i=1，2，…，n）是M的完全不变子模．若Mi（i=1，2，…，n）是kernelduo模，则M是kernelduo模．设R是V-环且M是kernel-弱补模，则M是kernelduo模当且仅当M是弱DUO模．
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| 关 键 词： | kernel duo模 kernel子模 完全不变子模 kernel-弱补模 弱Duo模 |
A Generalization of Duo Modules |
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| ZHANG Pei-gang.A Generalization of Duo Modules[J].Journal of Gansu Sciences,2009,21(1):5-6. |
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| Authors: | ZHANG Pei-gang |
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| Institution: | ZHANG Pei-gang (School of Science, Lanzhou University of Science and Technology, Lanzhou730050, China) |
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| Abstract: | As a proper generalization of Duo modules,the concept of kernel duo modules was introduced and their basic properties were given. It was proved that any direct summand of a kernel duo module was kernel duo. Let M =ni=1Mibe a direct sum of fully invariant submodules Mi （i = 1,2,…, n） . If Mi （i = 1,2, … ,n） was a kernel duo module,then M was a kernel duo module. Let R be a V-ring and Ma kernel-weakly supplemented module. Then M was a kernel duo module if and only if M was a weak Duo module. |
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| Keywords: | kernel duo module kernel submodule fully invariant submodule kernel-weakly supplemen-ted module weak Duo module |
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