體驗區
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篇名 |
擬入射模的固態映像的分解
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並列篇名 |
SOME DECOMPOSITIONS OF EPIMORPHIC IMAGES OF QUASI-INJECTIVE MODULES
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作者 |
陳冒海
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中文摘要 |
封闭子模为研究拟入射模之重要工具。本文主要在研究拟入射模之同态映像的封闭子模与优诚实(superhonest)子模。证明Sandomierski〔7〕中之定理2˙10之系理,Harada〔3〕中之定理1˙7与本人〔1〕中之性质4˙7都可推广至拟入射模的同态映像。提供拟入射模的同态映像几种分解方式。
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英文摘要 |
Closed submodules are an important tool in studying quasi-injective modules. In this article we are mainly concerned with the closed submodules and the superhonest submodules of quasi-injective modules. We shall prove that Corollary of Theorem 2, 10 in [7]; Theorem 1.7 in [3] and Proposition 4.7 in [1] still hold when the R-module is an epimor-phic image of a quasi-injective R-module. It deduces some decompositions of epimorphic images of quasi-injective modules.
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頁次 |
631-639
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關鍵詞 |
TSSCI
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卷期 |
31:1
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日期 |
1986
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刊名 |
教育科學研究期刊
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出版單位 |
國立臺灣師範大學
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