JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (8): 54-58.doi: 10.6040/j.issn.1671-9352.0.2019.692

Previous Articles     Next Articles

Some characterizations of a class of special morphisms of modules

LAN Kai-yang*, YANG Ting-ting   

  1. College of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, Gansu, China
  • Published:2020-07-14

PDF (PC)

419

Abstract: Let n be a positive integer. First, some equivalent characterizations of Torn-monomorphism and Extn-epimorphism are studied. Secondly, some sufficient conditions for a morphism to be a Torn-epimorphism or an Extn-monomorphism are given.

Key words: Extn-epimorphism, Torn-monomorphism, FP-injective dimension

CLC Number: 

  • O154.2
[1] FU Xianhui, GUIL ASENSIO P A, HERZOG I, et al. Ideal approximation theory[J]. Adv Math 2013, 244:750-790.
[2] HERZOG I. The phantom cover of a module[J]. Adv Math 2007, 215:220-249.
[3] HERZOG I. Contravariant functors on the category of finitely presented modules[J]. Israel J Math, 2008, 167:347-410.
[4] MAO Lixin. Higher phantom morphisms with respect to a subfunctor of Ext[J]. Algebra Represent Theor, 2019, 22:407-424.
[5] NEEMAN A. The Brown representability theorem and phantomless triangulated categories[J]. J Algebra, 1992, 151:118-155.
[6] MAO Lixin. Higher phantom and Ext-phantom morphisms[J]. J Algebra Appl, 2018, 17:1-15.
[7] STENSTROM B. Coherent rings and FP-injective modules[J]. J London Math Soc, 1970, 2:323-329.
[8] LAM T Y. Lectures on modules and rings[M]. New York: Springer-Verlag, 1999.
[1] Cuiping ZHANG,Jiaojiao DONG,Yinyin YANG. Gorenstein FP-injective dimensions over formal triangular matrix rings [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2024, 59(2): 8-13.
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