The numerical duplication of a numerical semigroup

2012/11/15 by Marco D’Anna, D'Anna, Marco, Francesco Strazzanti +1
Computer Science · Mathematics · #13H10 #20M14 #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1211.3693

openalex publication_date 2012/11/15 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

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\Join^b\E (where b is any odd integer belonging to S), such that S=(S\Join^b\E)/2. In particular, we characterize the ideals E such that S\Join^bE is almost symmetric and we determine its type.

Citations

• Almost Gorenstein rings

Related

• One half of almost symmetric numerical semigroups
• Almost symmetric numerical semigroups with odd generators
• Almost symmetric numerical semigroups
• Perfect Pairs of Ideals and Duals in Numerical Semigroups
• Almost canonical ideals and GAS numerical semigroups