《山东大学学报(理学版)》 ›› 2023, Vol. 58 ›› Issue (2): 58-62.doi: 10.6040/j.issn.1671-9352.0.2021.669
• • 上一篇
谭进,狄振兴*
TAN Jin, DI Zhen-xing*
摘要: 在具有零双模同态的Morita环上构造了一类强Ding投射模。
中图分类号:
[1] ENOCHS E E, JENDA O M G. Gorenstein injective and projective modules[J]. Mathematische Zeitschrift, 1995, 220(4):611-633. [2] DING Nanqing, LI Yuanlin, MAO Lixin. Strongly Gorenstein flat modules[J]. J Aust Math Soc, 2009, 86(3):323-338. [3] GILLESPIE J. Model structures on modules over Ding-Chen rings[J]. Homology, Homotopy and Applications, 2010, 12(1):61-73. [4] HUANG Chaoling, WU T S. Ding projective and Ding injective dimensions[J]. Int Electron J Algebra, 2015, 18(1):1-20. [5] MAO LI XING. Ding modules and dimensions over formal triangular matrix rings[J]. ArXiv: 1912.06968. [6] GAO Nan, PSAROUDAKIS C. Gorenstein homological aspects of monomorphism categories via Morita rings[J]. Algebras and Representation Theory, 2017, 20(2):487-529. [7] GREEN E L. On the representation theory of rings in matrix form[J]. Pacific J Math, 1982, 100(1):138-152. [8] ZHANG Pu. Gorenstein projective modules and symmetric recollements[J]. J Algebra, 2013, 388(7):65-80. [9] ZHANG Pu. Monomorphism categories, cotilting theory, and Gorenstein projective modules[J]. J Algebra, 2011, 339(1):181-202. [10] KRYLOV P, TUGANBAEV A. Formal matrices[M]. Cham: Springer, 2017: 31-75. |
[1] | 牛韶花,杨刚. 形式三角矩阵环上的n-Gorenstein投射模[J]. 《山东大学学报(理学版)》, 2022, 57(10): 44-49. |
[2] | 郭慧瑛,杨富霞,张翠萍. 有有限Ext-强Ding投射维数的模的稳定性[J]. 《山东大学学报(理学版)》, 2021, 56(4): 31-38. |
[3] | 赵壮,梁力. 平坦双模和Gorenstein模[J]. 《山东大学学报(理学版)》, 2020, 55(12): 89-92. |
[4] | 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. |
[5] | 郭慧瑛,张翠萍. Ext-强Ding投射模[J]. 《山东大学学报(理学版)》, 2020, 55(10): 31-36. |
[6] | 章璞. Gorenstein投射模[J]. J4, 2009, 44(2): 1-13. |
|