Geodesic
ON THE ARITHMETIC OF MORI MONOIDS AND DOMAINS
Glasgow mathematical journal, Tome 62 (2020) no. 2, pp. 313-322

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DOI

Let R be a Mori domain with complete integral closure $\widehat R$, nonzero conductor $\mathfrak f= (R: \widehat R)$, and suppose that both v-class groups ${{\cal C}_v}(R)$ and ${{\cal C}_v}(3\widehat R)$ are finite. If $R \mathfrak f$ is finite, then the elasticity of R is either rational or infinite. If $R \mathfrak f$ is artinian, then unions of sets of lengths of R are almost arithmetical progressions with the same difference and global bound. We derive our results in the setting of v-noetherian monoids. 
ZHONG, QINGHAI. ON THE ARITHMETIC OF MORI MONOIDS AND DOMAINS. Glasgow mathematical journal, Tome 62 (2020) no. 2, pp. 313-322. doi: 10.1017/S0017089519000132
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     title = {ON {THE} {ARITHMETIC} {OF} {MORI} {MONOIDS} {AND} {DOMAINS}},
     journal = {Glasgow mathematical journal},
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     year = {2020},
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     doi = {10.1017/S0017089519000132},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089519000132/}
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