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

F. Strazzanti
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.
2013
87
1
149
160
http://link.springer.com/article/10.1007/s00233-012-9451-x
https://arxiv.org/pdf/1211.3693.pdf
type; canonical ideal; almost symmetric semigroups; one half of a semigroup
M. D'Anna; F. Strazzanti
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1789075
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