We study star operations on Kunz domains, a class of analytically irreducible, residually rational domains associated to pseudo-symmetric numerical semigroups, and we use them to refute a conjecture of Houston, Mimouni and Park. We also find an estimate for the number of star operations in a particular case, and a precise counting in a sub-case.

Spirito, D. (2019). Star operations on Kunz domains. INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA.

Star operations on Kunz domains

Dario Spirito
2019-01-01

Abstract

We study star operations on Kunz domains, a class of analytically irreducible, residually rational domains associated to pseudo-symmetric numerical semigroups, and we use them to refute a conjecture of Houston, Mimouni and Park. We also find an estimate for the number of star operations in a particular case, and a precise counting in a sub-case.
2019
Spirito, D. (2019). Star operations on Kunz domains. INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/343139
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