| 模的强Gorenstein平坦维数 |
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| 引用本文： | 王占平,马海玉.模的强Gorenstein平坦维数[J].数学研究及应用,2014,34(3):307-315. |
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| 作者姓名： | 王占平 马海玉 |
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| 作者单位： | 上海交通大学数学系，上海 200240; 西北师范大学数学与统计学院, 甘肃 兰州 730070;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 (Grant Nos.11201377; 11261050),中国博士后科学基金(Grant No.2013M541509),甘肃省自然科学基金(Grant No.1208RJZA145). |
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| 摘 要： | In the Gorenstein homological theory, Gorenstein projective and Gorenstein injective dimensions play an important and fundamental role. In this paper, we aim at studying the closely related strongly Gorenstein flat and Gorenstein FP-injective dimensions, and show that some characterizations similar to Gorenstein homological dimensions hold for these two dimensions.
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| 关 键 词： | 尺寸 平板 模块 内射 |
| 收稿时间： | 2013/2/16 0:00:00 |
| 修稿时间： | 2014/2/24 0:00:00 |
Strongly Gorenstein Flat Dimensions of Modules |
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| Zhanping WANG and Haiyu MA.Strongly Gorenstein Flat Dimensions of Modules[J].Journal of Mathematical Research with Applications,2014,34(3):307-315. |
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| Authors: | Zhanping WANG and Haiyu MA |
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| Institution: | Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, P. R. China; Department of Mathematics, Northwest Normal University, Gansu 730070, P. R. China;Department of Mathematics, Northwest Normal University, Gansu 730070, P. R. China |
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| Abstract: | In the Gorenstein homological theory, Gorenstein projective and Gorenstein injective dimensions play an important and fundamental role. In this paper, we aim at studying the closely related strongly Gorenstein flat and Gorenstein FP-injective dimensions, and show that some characterizations similar to Gorenstein homological dimensions hold for these two dimensions. |
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| Keywords: | strongly Gorenstein flat dimension strongly Gorenstein flat module Gorenstein FP-injective dimension Gorenstein FP-injective module |
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