The Classification of Commutative, Noetherian, Filial Rings with Identity: Communications in Algebra: Vol 40, No 5

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Abstract

Filial rings are rings in which the relation of being an ideal is transitive. We continue the study of commutative filial rings started in [Citation2, Citation3]. In particular, we give a complete description of the commutative, filial, noetherian rings with identity.

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Communicated by V. A. Artamonov.

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The Classification of Commutative, Noetherian, Filial Rings with Identity

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