| 伪i-内射半模 |
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| 引用本文： | 王秀丽,周茂袁,张翠杰.伪i-内射半模[J].大学数学,2011,27(1):76-79. |
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| 作者姓名： | 王秀丽 周茂袁 张翠杰 |
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| 作者单位： | 王秀丽,张翠杰,WANG Xiu-li,ZHANG Cui-jie(中国民航大学,理学院,天津,300300);周茂袁,ZHOU Mao-yuan(中国民航大学,理学院,天津,300300;南开大学,数学学院,天津,300071) |
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| 基金项目： | 天津市自然科学基金，天津中国民航大学理学类科研基金 |
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| 摘 要： | 主要引进了伪i-内射半模的定义,并根据对偶原则,参照k-投射半模及内射模的结论,得到了伪i-内射半模的一些很好的性质,从而实现了把环中内射模的某屿性质在半环中内射半模方面的部分推广.
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| 关 键 词： | i-正则同态 伪i-内射半模 真正合序列 可吸收半模 |
Pseudo i-Injective Semimodules |
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| WANG Xiu-li,ZHOU Mao-yuan,ZHANG Cui-jie.Pseudo i-Injective Semimodules[J].College Mathematics,2011,27(1):76-79. |
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| Authors: | WANG Xiu-li ZHOU Mao-yuan ZHANG Cui-jie |
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| Institution: | WANG Xiu-li1,ZHOU Mao-yuan1,2,ZHANG Cui-jie1(1.Science College,Civil Aviation University of China,Tianjin 300300,China,2.School of Mathematical Sciences,Nankai University,Tianjin 300071,China) |
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| Abstract: | We principally introduce the concept of pseudo i-injective semimodules,on the basis of dual principle and comparing with the theories of k-projective semimodules and injective modules,we get some properties of pseudo i-injective semimodules,therefore generalize some properties of injective modules of rings to pseudo i-injective semimodules of semirings. |
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| Keywords: | i-regular homomorphism pseudo i-injective semimodules proper exact sequence subtractive semimodules |
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