| XG-投射模 |
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| 引用本文： | 乔虎生,汪军鹏.XG-投射模[J].西北师范大学学报,2010,46(1):10-13,21. |
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| 作者姓名： | 乔虎生 汪军鹏 |
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| 作者单位： | 西北师范大学数学与信息科学学院,甘肃兰州730070 |
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| 摘 要： | 设X是任一模类,本文引入XG-投射模的概念,给出了一般环上XG-投射模的等价刻画,并研究了XG-投射模类的投射可解性.作为应用,给出了强Gorenstein平坦模的等价刻画,并且证明了任意环上的强Gorenstein平坦模类是投射可解的.
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| 关 键 词： | xy-投射模 强Gorenstein平坦模 投射可解性 |
XG-Projective modules |
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| QIAO Hu-sheng,WANG Jun-peng.XG-Projective modules[J].Journal of Northwest Normal University Natural Science (Bimonthly),2010,46(1):10-13,21. |
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| Authors: | QIAO Hu-sheng WANG Jun-peng |
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| Institution: | QIAO Hu-sheng,WANG Jun-peng(College of Mathematics , Information Science,Northwest Normal University,Lanzhou 730070,Gansu,China) |
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| Abstract: | Let X be a class of modules.XG-Projective modules are introduced,and the equivalent characterizations of XG-projective modules and its projectively resolving properties are studied.As their applications,some characterizations of strongly Gorenstein flat modules over any rings are given,and it is proved that the class of all strongly Gorenstein flat modules over any rings is projectively resolving. |
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| Keywords: | XG-projective module strongly Gorenstein flat module projectively resolving properties |
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