Almost symmetric numerical semigroups with high type

zbMath1429.20043arXiv1904.02987MaRDI QIDQ5214030

Pedro A. García Sánchez, Ignacio Ojeda Martínez de Castilla

Publication date: 6 February 2020

Full work available at URL: https://arxiv.org/abs/1904.02987

zbMATH Keywords

typegenuspseudo-Frobenius numbernumerical semigroupFrobenius numberalmost symmetric numerical semigroup

Mathematics Subject Classification ID

Commutative semigroups (20M14) Semigroup rings, multiplicative semigroups of rings (20M25)

Related Items

On the boundedness of the type of an almost Gorenstein monomial curve in 𝔸⁵, Almost symmetric Arf partitions, Numerical semigroups of small and large type, On almost-symmetry in generalized numerical semigroups

Uses Software

• GAP
• numericalsgps

Cites Work

• On the type of an almost Gorenstein monomial curve
• Dilatations of numerical semigroups
• Numerical semigroups.
• One-dimensional almost Gorenstein rings
• On a question of Eliahou and a conjecture of Wilf
• Symmetries on almost symmetric numerical semigroups.
• Gapsets and numerical semigroups
• Almost symmetric numerical semigroups
• Fibonacci-like behavior of the number of numerical semigroups of a given genus.
• Numerical semigroups with a given set of pseudo-Frobenius numbers
• Almost symmetric numerical semigroups with given Frobenius number and type
• Numerical semigroups and applications