A GENERALIZATION OF NOETHERIAN RINGS

Lixin Mao

doi:10.11650/twjm/1500574170

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Home > Journals > Taiwanese J. Math. > Volume 12 > Issue 2 > Article

2008 A GENERALIZATION OF NOETHERIAN RINGS

Lixin Mao

Taiwanese J. Math. 12(2): 501-512 (2008). DOI: 10.11650/twjm/1500574170

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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.