The Classification of Integral Domains in Which the Relation of Being an Ideal Is Transitive: Communications in Algebra: Vol 31, No 5

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Abstract

A ring R is said to be filial when for every I, J, if I is an ideal of J and J is an ideal of R then I is an ideal of R. The complete classification and the method of construction of commutative filial domains is given.

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The Classification of Integral Domains in Which the Relation of Being an Ideal Is Transitive

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