Morita环上的Gorenstein FP-内射模

陈文静(),高文

Wenjing CHEN(),Wen GAO

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China

摘要：

通过粘合理论给出一种构造零双模同态的Morita环上的Gorenstein FP-内射模的方法。

关键词: Gorenstein FP-内射模, Morita环, Gorenstein内射模

Abstract:

The method of constructing Gorenstein FP-injective modules on Morita rings with zero bimodule homomorphisms is given by the theory of recollements.

Key words: Gorenstein FP-injective module, Morita ring, Gorenstein injective module

中图分类号:

陈文静,高文. Morita环上的Gorenstein FP-内射模[J]. 《山东大学学报(理学版)》, 2024, 59(4): 9-15.

Wenjing CHEN,Wen GAO. Gorenstein FP-injective modules over Morita rings[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2024, 59(4): 9-15.

1	AUSLANDER M , BRIDGER M . Stable module theory[M]. Providence Rbode Island: American Mathematical Society, 1969.
2	ENOCHS E E , JENDA O M G . Gorenstein injective and projective modules[J]. Mathematische Zeitschrift, 1995, 220 (1): 611- 633. doi: 10.1007/BF02572634
3	HOLM H . Gorenstein homological dimensions[J]. Journal of Pure and Applied Algebra, 2004, 189 (1/2/3): 167- 193.
4	MAO Lixin , DING Nanqing . Gorenstein FP-injective and Gorenstein flat modules[J]. Journal of Algebra and Its Applications, 2008, 7 (4): 491- 506.
5	GAO N , PSAROUDAKIS C . Gorenstein homological aspects of monomorphism categories via Morita rings[J]. Algebras and Representation Theory, 2017, 20 (2): 487- 529. doi: 10.1007/s10468-016-9652-1
6	YAN Meiqi , YAO Hailou . Pure projective modules and FP-injective modules over Morita rings[J]. Frontiers of Mathematics in China, 2020, 15 (6): 1265- 1293. doi: 10.1007/s11464-020-0877-2
7	吴德军, 周慧. 三角矩阵环上Gorenstein FP-内射模的刻画[J]. 山东大学学报(理学版), 2021, 56 (8): 86- 93. doi: 10.6040/j.issn.1671-9352.0.2021.062
	WU Dejun , ZHOU Hui . A characterization of Gorenstein FP-injective modules over triangular matrix rings[J]. Journal of Shandong University(Natural Science), 2021, 56 (8): 86- 93. doi: 10.6040/j.issn.1671-9352.0.2021.062
8	GREEN E L . On the representation theory of rings in matrix form[J]. Pacific Journal of Mathematics, 1982, 100 (1): 123- 138.

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[2]	张翠萍,董娇娇,杨银银. 形式三角矩阵环上的Gorenstein FP-内射维数[J]. 《山东大学学报(理学版)》, 2024, 59(2): 8-13.
[3]	谭进,狄振兴. Morita环上的强Ding投射模[J]. 《山东大学学报(理学版)》, 2023, 58(2): 58-62.
[4]	杨银银,张翠萍. 形式三角矩阵环上的 Gorenstein FP-内射模[J]. 《山东大学学报(理学版)》, 2022, 57(2): 38-44.
[5]	吴德军,周慧. 三角矩阵环上Gorenstein FP-内射模的刻画[J]. 《山东大学学报(理学版)》, 2021, 56(8): 86-93.
[6]	刘妍平. GI-模和余自反复形[J]. 《山东大学学报(理学版)》, 2020, 55(4): 32-40.
[7]	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.
[8]	王超. 上三角矩阵Artin代数上的Gorenstein内射模[J]. 山东大学学报（理学版）, 2016, 51(2): 89-93.
[9]	陈文静,刘仲奎. 关于n-强 Gorenstein FP-内射模的注记[J]. 山东大学学报（理学版）, 2014, 49(04): 50-54.
[10]	王欣欣. 强Ω-Gorenstein内射模[J]. J4, 2013, 48(2): 23-26.

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