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arxiv: 1805.10375 · v1 · pith:ZE3LVV3Znew · submitted 2018-05-25 · 🧮 math.AC

A new simple example of an atomic domain which is not ACCP

classification 🧮 math.AC
keywords domainexampleaccpatomicmonoidsimpleadditivefield
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We give a new simple example of an atomic domain which is not ACCP. Our example is a monoid domain $F[X;M]$, where $F$ is a field and $M$ is a submonoid of the additive monoid of nonnegative rational numbers.

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