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- W4308233422 abstract "We give explicit descriptions of rings of differential operators of toric face rings in characteristic $0$. For quotients of normal affine semigroup rings by radical monomial ideals, we also identify which of their differential operators are induced by differential operators on the ambient ring. Lastly, we provide a criterion for the Gorenstein property of a normal affine semigroup ring in terms of its differential operators. Our main technique is to realize the k-algebras we study in terms of a suitable family of their algebra retracts in a way that is compatible with the characterization of differential operators. This strategy allows us to describe differential operators of any k-algebra realized by retracts in terms of the differential operators on these retracts, without restriction on char(k)." @default.
- W4308233422 created "2022-11-09" @default.
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- W4308233422 date "2021-11-30" @default.
- W4308233422 modified "2023-10-06" @default.
- W4308233422 title "Differential operators, retracts, and toric face rings" @default.
- W4308233422 doi "https://doi.org/10.2140/ant.2023.17.1959" @default.
- W4308233422 hasPublicationYear "2021" @default.
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