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Neat submodules over integral domains

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Abstract

Neat subgroups of abelian groups have been generalized to modules in essentially two different ways (corresponding to (a) and (b) in the Introduction); they are in general inequivalent, none implies the other. Here we consider relations between the two versions in the commutative case, and characterize the integral domains in which they coincide: these are the domains whose maximal ideals are invertible.

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  1. Department of Mathematics, Tulane University, New Orleans, Louisiana, 70118, USA

    László Fuchs

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  1. László Fuchs
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Correspondence to László Fuchs.

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Communicated by Mária B. Szendrei

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Fuchs, L. Neat submodules over integral domains. Period Math Hung 64, 131–143 (2012). https://doi.org/10.1007/s10998-012-7509-x

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  • DOI: https://doi.org/10.1007/s10998-012-7509-x

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