For which additive submonoids $M$ of nonnegative rationals is $F[X;M]$ AP?

Ryan Gipson; Hamid Kulosman

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arXiv · 1805.10373

For which additive submonoids $M$ of nonnegative rationals is $F[X;M]$ AP?

Ryan Gipson·Hamid Kulosman

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Abstract

We characterize the submonoids $M$ of the additive monoid $\Q_+$ of nonnegative rational numbers for which the irreducible and the prime elements in the monoid domain $F[X;M]$ coincide. We present a diagram of implications between some types of submonoids of $\Q_+$, with a precise position of the monoids $M$ with this property.

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Ryan Gipson, Hamid Kulosman. 2018-05-25. For which additive submonoids $M$ of nonnegative rationals is $F[X;M]$ AP?. https://arxiv.org/abs/1805.10373

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