JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (8): 99-104.doi: 10.6040/j.issn.1671-9352.0.2021.066

Previous Articles    

Gorenstein weak flat modules and dimension over right GWF-closed rings

SONG Yan-hui, GUO Ting   

  1. School of General Education, Lanzhou College of Information Science and Technology, Lanzhou 730300, Gansu, China
  • Published:2021-08-09

Abstract: The properties of Gorenstein weak flat modules and Gorenstein weak flat dimension over right GWF-closed rings are investigated in this paper, and the Gorenstein weak flat dimension of modules is characterized.

Key words: right GWF-closed ring, Gorenstein weak flat module, Gorenstein weak flat dimension

CLC Number: 

  • O154.2
[1] ROTMAN J J. An introduction to homological algebra[M]. New York: Academic Press, 1979.
[2] ENOCHS E E, JENDA O M G, TORRECILLAS B. Gorenstein flat modules[J]. Journal of Nanjing University: Natural Science, 1993, 10(1):1-9.
[3] HOLM H. Gorenstein homological dimensions[J]. Journal of Pure and Applied Algebra, 2004, 189(1):167- 193.
[4] BENNIS D. Rings over which the class of Gorenstein flat modules is closed under extensions[J]. Communications in Algebra, 2009, 37(3):855-868.
[5] DING Nanqing, LI Yuanlin, MAO Lixin. Strongly Gorenstein flat modules[J]. Journal of the Australian Mathematical Society, 2009, 86(3):323-338.
[6] CHRISTENSEN L W, FRANKILD A, HOLM H. On Gorenstein projective, injective and flat dimensions: a functorial description with applications[J]. Journal of Algebra, 2006, 302(1):231-279.
[7] BENNIS D, MAHDOU N. Strongly Gorenstein projective, injective, and flat modules[J]. Journal of Pure and Applied Algebra, 2007, 210(2):437-445.
[8] GAO Zenghui. Weak Gorenstein projective, injective and flat modules[J]. Journal of Algebra, 2013, 12(2):1250165(1-15).
[9] HOLM H. Gorenstein projective, injective and flat modules[D]. Copenhagen: University of Copenhagen, 2004.
[10] YANG Xiaoyan, LIU Zhongkui. Strongly Gorenstein projective, injective and flat modules[J]. Journal of Algebra, 2008, 320(7): 2659-2674.
[11] 饶炎平,杨刚. Gorenstein 弱平坦模[J]. 山东大学学报(理学版), 2015, 50(10):68-75. RAO Yanping, YANG Gang. Gorenstein weak flat modules[J]. Journal of Shandong University(Natural Science), 2015, 50(10):68-75.
[12] ZHAO Tiwei, XU Yunge. Remarks on Gorenstein weak injective and weak flat modules[J]. Algebra Colloquium, 2020, 27(4):687-702.
[13] GAO Zenghui, WANG Fanggui. Weak injective and weak flat modules[J]. Communications in Algebra, 2015, 43(9):3857-3868.
[14] CHRISTENSEN L W. Gorenstein dimensteins[M] //Lecture Notes in Mathematics, Vol 1747. Berlin: Springer-Verlag, 2000.
[1] RAO Yan-ping, YANG Gang. Gorenstein weak flat modules [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(10): 68-75.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!