Some properties of AFG and CTF rings

Year 2016, Volume: 45 Issue: 1, 57 - 67, 01.02.2016

Lixin Mao

Abstract

R is said to be a right AFG ring if the right annihilator of every
nonempty subset of R is a finitely generated right ideal. R is called
a right CTF ring if every cyclic torsionless right R-module embeds in a
free module. In this paper, we first give new characterizations of AFG
rings and study some closure properties of AFG rings. Then we explore
the intimate relationships between AFG rings and CTF rings. 

Keywords

AFG ring, CTF ring, pseudo-coherent ring, F P-injective module, singly projective module

References

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