《山东大学学报(理学版)》 ›› 2020, Vol. 55 ›› Issue (10): 31-36.doi: 10.6040/j.issn.1671-9352.0.2020.001
郭慧瑛,张翠萍*
GUO Hui-ying, ZHANG Cui-ping*
摘要: 引入了Ext-强Ding投射模的定义,证明了Ext-强Ding投射模类是投射可解类,并讨论了Ext-强Ding投射模预覆盖。
中图分类号:
[1] AUSLAND M, BRIDGER M. Stable module theory[M] //Memo Amer Math Soc, vol. 94, Providence, RI: Amer Math Soc, 1969. [2] ENOCHS E E, JENDA O M G. Gorenstein injctive and projective modules[J]. Math Z, 1995, 220(1):611-633. [3] HOLM H. Gorenstein homological dimensions[J]. J Pure and Appl Algebra, 2004, 189(1):167-193. [4] BENNIS D, MAHDOU N. Strongly Gorenstein projective, injctive and flat modules[J]. J Pure Appl Algebra, 2007, 210(2):437-445. [5] BENNIS D, MAHDOU N. Global Gorenstein dimensions[J]. Proc Amer Math Soc, 2010, 138:461-465. [6] REN Jie. The Ext-strongly Gorenstein projective modules[J]. Turk J Math, 2015, 39:54-62. [7] DING Nanqing, LI Yuanlin, MAO Lixin. Strongly Gorenstein flat modules[J]. J Aust Math Soc, 2009, 86:323-338. [8] MAO Lixin, DING Nanqing. Gorenstein FP-injective and Gorenstein flat modules[J]. Journal of Algebra and Its Application, 2008, 7(4):491-506. [9] GILLESPIE J. Model structures on modules over Ding-Chen rings[J]. Homology, Homotopy and Applications, 2010, 12(1):61-73. [10] HUANG Chaoling, WU Tongsuo. Ding projective and Ding injective dimensions[J]. Journal of Algebra, 2015, 18:1-20. [11] YANG Gang, LIU Zhongkui, LIANG L. Ding projective and Ding injective modules[J]. Colloq Algebra, 2013, 20:601-612. [12] XU Jinzhong. Flat Cover of modules[M] //Lecture Notes in Math. Vol. 1634, Berlin, New York: Springer-Verlag, 1996. [13] ENOCHS E E, JENDA O M G. Relative homlogical algebra[M] //de Gruyter Expositions in Math Vol. 30. New York: Walter de Gruyter, 2000. [14] ZHU Xiaosheng. Resolving resolution dimensions[J]. Journal of Algebra Represent Theory, 2013, 16:1165-1191. |
[1] | 赵阳,张文汇. 形式三角矩阵环上的强Ding投射模和强Ding内射模[J]. 《山东大学学报(理学版)》, 2020, 55(10): 37-45. |
[2] | 王文康. 三角范畴中的投射分解[J]. 山东大学学报(理学版), 2015, 50(12): 114-120. |
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