Abstract
In this paper, we introduce the concept of $AFG$ rings. $R$ is said to be a left $AFG$ ring in case the left annihilator of every nonempty subset of $R$ is a finitely generated left ideal. Some characterizations of $AFG$ rings and applications are obtained.
Citation
Lixin Mao. "A GENERALIZATION OF NOETHERIAN RINGS." Taiwanese J. Math. 12 (2) 501 - 512, 2008. https://doi.org/10.11650/twjm/1500574170
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