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• W4293577909 abstract "Let $D$ be an integral domain and $Gamma$ be a torsion-free commutative cancellative (additive) semigroup with identity element and quotient group $G$. In this paper, we show that if char$(D)=0$ (resp., char$(D)=p>0$), then $D[Gamma]$ is a weakly Krull domain if and only if $D$ is a weakly Krull UMT-domain, $Gamma$ is a weakly Krull UMT-monoid, and $G$ is of type $(0,0,0, dots )$ (resp., type $(0,0,0, dots )$ except $p$). Moreover, we give arithmetical applications of this result." @default.
• W4293577909 created "2022-08-30" @default.
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• W4293577909 date "2022-08-20" @default.
• W4293577909 modified "2023-09-27" @default.
• W4293577909 title "Semigroup rings as weakly Krull domains" @default.
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• W4293577909 doi "https://doi.org/10.2140/pjm.2022.318.433" @default.
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