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On rings for which finitely generated ideals have only finitely many components

Thomas Marley
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Abstract

For a commutative ring R we investigate the property that the sets of minimal primes of finitely generated ideals of R is always finite. We prove this property passes to polynomial ring extensions (in an arbitrary number of variables) over R as well as to R-algebras which are finitely presented as R-modules.

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Thomas Marley. 2006-01-23. On rings for which finitely generated ideals have only finitely many components. https://arxiv.org/abs/math/0601566

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