| 关于FG-内射模与FP-内射模的注记 |
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| 引用本文： | 王秀丽 田俊改 张冰. 关于FG-内射模与FP-内射模的注记[J]. 松辽学刊, 2005, 26(2): 25-26,36 |
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| 作者姓名： | 王秀丽 田俊改 张冰 |
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| 作者单位： | [1]中国民航学院，天津300300 [2]沈阳农业大学基础部，辽宁沈阳110161 |
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| 基金项目： | 中国民航学院校内基金资助项目(04-CAUC-21S) |
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| 摘 要： | 本文主要讨论了FG-内射模与FP-内射模的一些相关性质，重点研究了FG-内射模在凝聚环、FG—IF环上的性质，同时也给出了二者之间的关系，即FG-内射模是FP-内射模，并且二者在Noether环上彼此等价，都等价于内射模．
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| 关 键 词： | FG-内射模 FP-内射模 凝聚环 FG—IF环 |
| 文章编号： | 1000-1840-(2005)02-0025-02 |
Note on FG- injective Modules and FP- injective Modules |
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| WANG Xiu-li,TIAN Jun-gai,ZHANG Bing. Note on FG- injective Modules and FP- injective Modules[J]. Songliao Journal (Natural Science Edition), 2005, 26(2): 25-26,36 |
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| Authors: | WANG Xiu-li TIAN Jun-gai ZHANG Bing |
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| Affiliation: | WANG Xiu-li~1,TIAN Jun-gai~1,ZHANG Bing~2 |
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| Abstract: | In this paper,we mainly discuss some relative properties of FG-injective modules and FP-injective modules,research emphasizely their properties in coherent rings and FG-IF rings.Meanwhile,we also give the relation between the two kinds modules,i.e.,FG-injective modules are FP-injective modules,Moreover,the two kinds modules are equivalent each other in Noether rings,they are all equal to injective modules. |
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| Keywords: | FG-injective modules FP-injective modules coherent rings FG-IF rings |
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