JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (8): 86-93.doi: 10.6040/j.issn.1671-9352.0.2021.062

Previous Articles    

A characterization of Gorenstein FP-injective modules over triangular matrix rings

WU De-jun, ZHOU Hui*   

  1. School of Science, Lanzhou University of Technology, Lanzhou 730050, Gansu, China
  • Published:2021-08-09

PDF (PC)

329

Abstract: Let T=(A 0U B) be a formal triangular matrix ring. A characterization of Gorenstein FP-injective left T-modules is given.

Key words: Gorenstein FP-injective module, left coherent ring, formal triangular matrix ring

CLC Number: 

  • O154.2
[1] MAO Lixin, DING Nanqing. Gorenstein FP-injective and Gorenstein flat modules[J]. Journal of Algebra and Its Applications, 2008, 7(4):491-506.
[2] XIN Dawei, CHEN Jianlong, ZHANG Xiaoxiang. On Gorenstein FP-injective and Gorenstein flat complexes[J]. Communications in Algebra, 2013, 41(4):1247-1267.
[3] YANG Chunhua. Strongly Gorenstein flat and Gorenstein FP-injective modules[J]. Turkish Journal of Mathematics, 2013, 37(2):218-230.
[4] SELVARAJ C, SARAVANAN R. Gorenstein n-FP-injective and Gorenstein n-flat complexes[J]. Bollettino dellUnione Matematica Italiana, 2016, 11(2):147-161.
[5] ENOCHS E E, CORTÉS-IZURDIAGA M, TORRECILLAS B. Gorenstein conditions over triangular matrix rings[J]. Journal of Pure and Applied Algebra, 2014, 218(8):1544-1554.
[6] MAO Lixin. Duality pairs and FP-injective modules over formal triangular matrix rings[J]. Communications in Algebra, 2020, 48(12):5296-5310.
[7] 佟文廷. 同调代数引论[M]. 北京: 高等教育出版社, 1998. TONG Wenting. An Introduction to Homological Algebra[M]. Beijing: Higher Education Press, 1998.
[8] GAO Zenghui, WANG Fanggui. Coherent rings and Gorenstein FP-injective modules[J]. Communications in Algebra, 2012, 40(5):1532-4125.
[1] DI Zhen-xing, LI Xiao-man. Absolutely clean modules and Gorenstein AC flat modules over formal triangular matrix rings [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(12): 81-88.
[2] ZHAO Yang, ZHANG Wen-hui. Strongly Ding projective and strongly Ding injective modules over formal triangular matrix rings [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(10): 37-45.
[3] HUANG Shu-liang. Several results on derivations of formal triangular matrix rings [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(10): 43-46.
[4] CHEN Wen-jing, LIU Zhong-kui. Remarks on n-strongly Gorenstein FP-injective modules [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(04): 50-54.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright 2018 © Editorial office of JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)
Supported by Beijing Magtech Co.Ltd