| p-内射半模 |
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| 引用本文： | 黄福生,杨俊燕,余安安.p-内射半模[J].南昌大学学报(理科版),2011,35(2). |
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| 作者姓名： | 黄福生 杨俊燕 余安安 |
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| 作者单位： | 江西师范大学数学与信息科学学院,江西,南昌,330022 |
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| 基金项目： | 江西省自然科学基金资助项目(0611051) |
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| 摘 要： | 给出p-内射半模的概念,并在此基础上刻划了p-内射半模与Hom函子的关系.接下来证得p-内射半模的直积与直和仍保持是p-内射半模。以及讨论了在无零因子半环中,p-内射半模与可除半模的关系。最后由于p-内射半模定义的条件比内射半模弱,证明了在任意真半环上存在非零的p-内射半模。
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| 关 键 词： | p-内射半模 主理想 短正合列 真短正合列 |
p-Injective semimodules |
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| HUANG Fu-sheng,YANG Jun-yan,YU An-an.p-Injective semimodules[J].Journal of Nanchang University(Natural Science),2011,35(2). |
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| Authors: | HUANG Fu-sheng YANG Jun-yan YU An-an |
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| Institution: | HUANG Fu-sheng,YANG Jun-yan,YU An-an(College of Mathematics and Informatics Science,Jiangxi Normal University,Nanchang 330022,China) |
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| Abstract: | The relationship between p-injective semimodules and HomR(-,E) was introduced based on the notion of the further.That the direct sum and the direct product of p-injective semimodules were still p-injective semimedules was proved.Moreover,the relationship between p-injective semimodules and divisible semimodules was analyzed in the case of the division semirings.Finally,it proved that non-zero p-injective semimodules exists over arbitrary proper semirings in that the conditions of p-injective semimodules'not... |
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| Keywords: | p-injective semimodule principal ideals short exact sequence short proper exact sequence |
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