| 相对于余挠对的强Gorenstein内射模 |
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| 引用本文： | 王占平,袁恺英.相对于余挠对的强Gorenstein内射模[J].山东大学学报(理学版),2019,54(8):102-107. |
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| 作者姓名： | 王占平 袁恺英 |
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| 作者单位： | 西北师范大学数学与统计学院, 甘肃 兰州 730070 |
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| 基金项目： | 国家自然科学基金资助项目(11561061) |
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| 摘 要： | 作为强Gorenstein内射模的推广,文中引入了相对于完备遗传余挠对(X,Y)的强Gorenstein内射模,即强Gorenstein(X∩Y,Y)-内射模,并给出了等价刻画和若干性质,而且还研究了强Gorenstein(X∩Y,Y)-内射模的稳定性,讨论了与Gorenstein(X∩Y,Y)-内射模之间的关系。
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| 关 键 词： | 余挠对 Gorenstein(X∩Y Y)-内射模 强Gorenstein(X∩Y Y)-内射模 稳定性 |
Strongly Gorenstein injective modules with respect to a cotorsion pair |
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| WANG Zhan-ping,YUAN Kai-ying.Strongly Gorenstein injective modules with respect to a cotorsion pair[J].Journal of Shandong University,2019,54(8):102-107. |
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| Authors: | WANG Zhan-ping YUAN Kai-ying |
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| Institution: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China |
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| Abstract: | As a generalization of strongly Gorenstein injective modules, this paper introduces and studys strongly Gorenstein injective modules with respect to a complete and hereditary cotorsion pair(X,Y), that is, strongly Gorenstein(X∩Y,Y)-injective modules, and give some properties and equivalent characterizations. Moreover, the stability of strongly Gorenstein(X∩Y,Y)-injective modules is studied, and the relation between it and Gorenstein(X∩Y,Y)-injective modules is discussed. |
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| Keywords: | cotorsion pair Gorenstein(X∩Y Y)-injective module strongly Gorenstein(X∩Y Y)-injective module stability |
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