JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (10): 50-51.doi: 10.6040/j.issn.1671-9352.0.2021.686

Previous Articles    

A new condition implying the Foxbys conjecture to hold

SUN Jiang-shuai, LIANG Li   

  1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China
  • Published:2022-10-06

PDF (PC)

237

Abstract: A new sufficient condition implying the Foxbys conjecture to hold on noncommutative rings is given by constructing a push-out graph.

Key words: Foxbys conjecture, Gorenstein flat dimension, restricted homological dimension

CLC Number: 

  • O154.2
[1] CHRISTENSEN L W. Gorenstein dimensions[M]. [S.l.] : Springer Science & Business Media, 2000: 127-131.
[2] CHRISTENSEN L W, FOXBY H B, FRANKILD A. Restricted homological dimensions and Cohen-macaulayness[J]. Journal of Algebra, 2002, 251(1):479-502.
[3] HOLM H. Gorenstein homological dimensions[J]. Journal of Pure and Applied Algebra, 2004, 189(1/2/3):167-193.
[4] EMMANOUIL I, TALELLI O. On the flat length of injective modules[J]. Journal of the London Mathematical Society, 2011, 84(2):408-432.
[5] COLBY R R. Rings which have flat injective modules[J]. Journal of Algebra, 1975, 35(1/2/3):239-252.
[1] REN Ye-fei, LIANG Li. Applications of Frobenius pairs [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2022, 57(10): 39-43.
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