Commutative Tall Rings

Journal of Algebra and Its Applications, 2014

Abstract

A ring is right tall if every non-noetherian right module contains a proper non-noetherian submodule. We prove a ring-theoretical criterion of tall commutative rings. Besides other examples which illustrate limits of proven necessary and sufficient conditions, we construct an example of a tall commutative ring that is non-max.

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Commutative Tall Rings

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