Some properties of AFG and CTF rings

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Hacettepe Journal of Mathematics and Statistics
Volume:45 Issue:1
Some properties of AFG and CTF rings

Some properties of AFG and CTF rings

Authors : Lixin MAO

Pages : 57-67

View : 58 | Download : 11

Publication Date : 2016-02-01

Article Type : Research Paper

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

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