In this paper we present and study the numerical duplication of a numerical semigroup, a construction that, starting with a numerical semigroup S and a semigroup ideal E⊆S, produces a new numerical semigroup, denoted by S⋈ b E (where b is any odd integer belonging to S), such that S=(S⋈ b E)/2. In particular, we characterize the ideals E such that S⋈ b E is almost symmetric and we determine its type.
The numerical duplication of a numerical semigroup
STRAZZANTI, FRANCESCO
2013-01-01
Abstract
In this paper we present and study the numerical duplication of a numerical semigroup, a construction that, starting with a numerical semigroup S and a semigroup ideal E⊆S, produces a new numerical semigroup, denoted by S⋈ b E (where b is any odd integer belonging to S), such that S=(S⋈ b E)/2. In particular, we characterize the ideals E such that S⋈ b E is almost symmetric and we determine its type.File in questo prodotto:
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