《山东大学学报(理学版)》 ›› 2020, Vol. 55 ›› Issue (2): 91-98.doi: 10.6040/j.issn.1671-9352.0.2018.751
刘婷,张文汇*
LIU Ting, ZHANG Wen-hui*
摘要: 引入Gorenstein IFP-平坦模,讨论了这类模的同调性质及其稳定性,研究了在右coherent环上Gorenstein IFP-平坦模的等价刻画。
中图分类号:
| [1] ENOCHS E E, JENDA O M G. Gorenstein injective and projective modules[J]. Math Z, 1995, 220(4):611-633. [2] ENOCHS E E, JENDA O M G, TORRECILLAS B. Gorenstein flat modules[J]. Journal of Nanjing Daxue Xuebao Shuxue Bannian Kan, 1993, 10:1-9. [3] ENOCHS E E, JENDA O M G. Relative homological algebra[M]. Berlin: Walter de Gruyter, 2000. [4] HOLM H. Gorenstein homological dimensions[J]. Journal of Pure and Applied Algebra, 2004, 189:167-193. [5] MAO Lixin, DING Nanqing. Gorenstein FP-injective and Gorenstein flat modules[J]. Journal of Algebra and Its Applications, 2008, 7(4):491-506. [6] DING Nanqing, LI Yuanlin, MAO Lixin, Strongly Gorenstein flat modules[J]. Journal of Aust Math Soc, 2009, 86:323-338. [7] LU Bo, LIU Zhongkui. IFP-Flat modules and IFP-Injective modules[J]. Journal of Comunications in Algebra, 2012, 40(2), 361-374. [8] DAMIANO R F. Coflat rings and modules[J]. Pacific Math, 1979, 81(2):349-369. [9] BENNIS D. Rings over which the class of Gorenstein flat modules is closed under extensions[J]. Journal of Comunications in Algebra, 2009, 37:855-868. [10] ZHU Xiaosheng. Resolving resolution dimensions[J]. Journal of Algebra Represent Theory, 2013, 16:1165-1191. [11] SATHER-WAGSTAFF S, SHARIF T, WHITE D. Stability of Gorenstein categories[J]. Journal of London Math Soc, 2008, 77:481-502. [12] HUANG Zhaoyong. Proper resolutions and Gorenstein categories[J]. Journal of Algebra, 2013, 393:142-169. |
| [1] | 周柳,乔磊,赵丹. 关于w-IFP-平坦模与w-IFP-内射模[J]. 《山东大学学报(理学版)》, 2024, 59(2): 22-31. |
|
||