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- W2892268807 abstract "It is well-known that a C-monoid is completely integrally closed if and only if its reduced class semigroup is a group and if this holds, then the C-monoid is a Krull monoid and the reduced class semigroup coincides with the usual class group of Krull monoids. We prove that a C-monoid is seminormal if and only if its reduced class semigroup is a union of groups. Based on this characterization we establish a criterion (in terms of the class semigroup) when seminormal C-monoids are half-factorial." @default.
- W2892268807 created "2018-09-27" @default.
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- W2892268807 date "2018-09-03" @default.
- W2892268807 modified "2023-09-23" @default.
- W2892268807 title "A characterization of seminormal C-monoids" @default.
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- W2892268807 doi "https://doi.org/10.48550/arxiv.1809.00570" @default.
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