您的位置:山东大学 -> 科技期刊社 -> 《山东大学学报(理学版)》

《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    

Morita环上的强Ding投射模

谭进,狄振兴*   

  1. 西北师范大学数学与统计学院, 甘肃 兰州 730070
  • 发布日期:2023-02-12
  • 作者简介:谭进(1994— ), 男, 硕士研究生, 研究方向为环的同调理论. E-mail:tanjin961130@163.com*通信作者简介:狄振兴(1984— ), 男,博士,副教授, 博士研究生导师, 研究方向为环的同调理论与代数表示理论. E-mail:dizhenxing19841111@126.com
  • 基金资助:
    国家自然科学基金资助项目(11971388)

Strongly Ding projective modules over Morita rings

TAN Jin, DI Zhen-xing*   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2023-02-12

摘要: 在具有零双模同态的Morita环上构造了一类强Ding投射模。

关键词: 强Ding投射模, Morita环, Gorenstein投射模

Abstract: This paper constructs a class of strongly Ding projective modules on Morita rings with zero bimodule homomorphisms.

Key words: strongly Ding projective module, Morita ring, Gorenstein projective module

中图分类号: 

  • O153.3
[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.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!