Gorenstein正则环、奇点范畴和Ding模

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Gorenstein正则环、奇点范畴和Ding模汪军鹏¹, 狄振兴²1. 西北师范大学经济学院兰州 730070;
2. 西北师范大学数学与统计学院兰州 730070 Gorenstein Regular Rings, Singularity Categories and Ding Modules Jun Peng WANG¹, Zhen Xing DI²1. Department of Economics, Northwest Normal University, Lanzhou 730070, P. R. China;
2. Department of Mathematics, Northwest Normal University, Lanzhou 730070, P. R. China

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摘要本文证明了任意环的整体 Ding 投射维数和整体Ding 内射维数一致，研究了奇点范畴和相对于 Ding模的稳定范畴间的关系，并刻画了 Gorenstein（正则）环以及环的整体维数的有限性.

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收稿日期: 2018-09-03

MR (2010):

O154.2

基金资助:国家自然科学基金资助项目（11601433）；中国博士后自然科学基金资助项目（2106M602945XB）

作者简介: 汪军鹏,E-mail:wangjunpeng1218@163.com;狄振兴,E-mail:dizhenxing19841111@163.com

引用本文:

汪军鹏, 狄振兴. Gorenstein正则环、奇点范畴和Ding模[J]. 数学学报, 2019, 62(2): 331-344. Jun Peng WANG, Zhen Xing DI. Gorenstein Regular Rings, Singularity Categories and Ding Modules. Acta Mathematica Sinica, Chinese Series, 2019, 62(2): 331-344.

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