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- W1978302904 abstract "If S = 〈 d 1 , … , d ν 〉 is a numerical semigroup, we call the ring C [ S ] = C [ t d 1 , … , t d ν ] the semigroup ring of S . We study the ring of differential operators on C [ S ] , and its associated graded in the filtration induced by the order of the differential operators. We find that these are easy to describe if S is a so-called Arf semigroup. If I is an ideal in C [ S ] that is generated by monomials, we also give some results on Der ( I , I ) (the set of derivations which map I into I )." @default.
- W1978302904 created "2016-06-24" @default.
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- W1978302904 date "2013-02-01" @default.
- W1978302904 modified "2023-09-26" @default.
- W1978302904 title "On differential operators of numerical semigroup rings" @default.
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- W1978302904 doi "https://doi.org/10.1016/j.jpaa.2012.06.009" @default.
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