Arf good semigroups with fixed genus

2018/02/07 by Zito, Giuseppe
#13A18 #14H50 #20-04 #20M14 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1802.02897

Abstract

In this paper we give an algorithm for the computation of all the Arf numerical semigroups with a given genus. Moreover, we generalize the concept of genus of a numerical semigroup to good semigroups of ℕ^r and we give a procedure to calculate all the Arf semigroups of ℕ^r with a given genus.

Related

• Arf good semigroups with fixed conductor
• Parametrizing Arf numerical semigroups
• Arf good semigroups
• The set of numerical semigroups of a given genus
• The tree of good semigroups in ℕ² and a generalization of the Wilf conjecture