| P-平坦半模和k-P-平坦半模 |
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| 引用本文： | 毛瑜,黄福生,许娣,李扬.P-平坦半模和k-P-平坦半模[J].江西师范大学学报(自然科学版),2015,0(5):514-518. |
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| 作者姓名： | 毛瑜 黄福生 许娣 李扬 |
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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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| 摘 要： | 在半模张量积和真正合列的基础上，给出P-平坦半模和k-P-平坦半模的定义，讨论了它们的相关性质，刻画了k-P-平坦半模和P-内射半模的关系，最后，通过k-P-平坦右R-半模来对半环R的左主理想进行一些研究。
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| 关 键 词： | P-平坦半模 k-P-平坦半模 P-内射半模 |
P-Flat Semimodules and k-P-Flat Semimodules |
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| MAO Yu,HUANG Fusheng,XU Di,LI Yang.P-Flat Semimodules and k-P-Flat Semimodules[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2015,0(5):514-518. |
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| Authors: | MAO Yu HUANG Fusheng XU Di LI Yang |
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| Abstract: | On the basis of the tensor product of semimodules and the proper exact sequence,the concepts of P-flat semimodules and k-P-flat semimodules are given,and their related properties are discussed. Also the relationship of k-P-flat semimodules and P-injective semimodules is described,and the left principal ideal of semiring R is studied by means of k-P-flat right R-semimodules. |
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| Keywords: | P-flat semimodules k-P-flat semimodules P-injective semimodules |
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