Search by article title, author,
keywords, and DOI

Tables of Contents» MORE

Volume 69 (2024)
Volume 68 (2023)
Volume 67 (2022)
Volume 66 (2021)
Volume 65 (2020)
Volume 64 (2019)
Volume 63 (2018)
Volume 62 (2017)
Volume 61 (2016)
Volume 60 (2015)
Volume 59 (2014)
Volume 58 (2013)
Volume 57 (2012)
Volume 56 (2011)
Volume 55 (2010)
Volume 54 (2009)
Volume 53 (2008)
Volume 52 (2007)
Volume 51 Number 2 (2006/October)
Volume 51 Number 1 (2006/April)
Volume 50 Number 2 (2005/October)
Volume 50 Number 1 (2005/April)
Volume 49 Number 2 (2004/October)
Volume 49 Number 1 (2004/April)
Volume 48 Number 2 (2003)
Volume 48 Number 1 (2003)
Volume 47 Number 2 (2002/October)
Volume 47 Number 1 (2002/April)
Volume 46 Number 2 (2001/October)
Volume 46 Number 1 (2001/April)
Volume 45 Number 2 (2000/October)
Volume 45 Number 1 (2000/April)
Volume 44 (1999)
Volume 43 Number 2 (1998/October)
Volume 43 Number 1 (1998/April)
Volume 42 (1997/October)
Volume 31-41 (1986-1996)
Volume 21-30 (1976-1985)
Volume 11-20 (1966-1975)
Volume 1-10 (1956-1965)
Call for Papers: Multifaceted interpretation of the legacy of interdisciplinary (Deadline: 06/30/2025)      Welcome to the Journal of NTNU Website     

Journal directory listing - Volume 31-41 (1986-1996) - Volume 32 (1987)
Directory
Back

Some Remarks on Quasi-Injective Modules
Author: Cheng Mau-Hai

Abstract：

The purpose of this paper is to give some supplementary remarks of the previous work [1] by the author. The nota-tions and terminologies are referred to [1]. We shall prove that for any quasi-injective R-module M, (i) if R is not a domain, then either TR(M)(TR(M))=M or TR(M)=(TR(M)) C (TR(M))=M; (ii) if R is a domain, then either TR(M)((TR(M))=M or TR(M)=(R(M)) is a proper direct summand of M.

《Full Text》