We study the cardinality of the set Star(S) of star operations on a numerical semigroup S; in particular, we study ways to estimate Star(S) and to bound the number of nonsymmetric numerical semigroups such that |Star(S)|≤ n. We also study this problem in the setting of analytically irreducible, residually rational rings whose integral closure is a fixed discrete valuation ring.
The Number of Star Operations on Numerical Semigroups and on Related Integral Domains
Spirito D.
2020-01-01
Abstract
We study the cardinality of the set Star(S) of star operations on a numerical semigroup S; in particular, we study ways to estimate Star(S) and to bound the number of nonsymmetric numerical semigroups such that |Star(S)|≤ n. We also study this problem in the setting of analytically irreducible, residually rational rings whose integral closure is a fixed discrete valuation ring.File in questo prodotto:
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