ON THE ARITHMETIC OF MORI MONOIDS AND DOMAINS
2019 ◽
Vol 62
(2)
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pp. 313-322
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AbstractLet 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.
1975 ◽
Vol 3
(10)
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pp. 951-958
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1996 ◽
Vol 61
(3)
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pp. 377-380
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2003 ◽
Vol 31
(11)
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pp. 5447-5465
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Keyword(s):
1971 ◽
Vol 36
(3)
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pp. 741-751
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1974 ◽
Vol 26
(1)
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pp. 98-107
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