The numerical duplication of a numerical semigroup
M D'Anna, F Strazzanti - Semigroup forum, 2013 - Springer
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.
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.
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