If S is a numerical semigroup with embedding dimension equal to three
whose minimal generators are pairwise relatively prime numbers, then
S = ⟨a, b, cb − da⟩ with a, b, c, d positive integers such that gcd(a, b) =
gcd(a,c) = gcd(b,d) = 1, c ∈ {2,...,a−1}, and a < b < cb−da. In this
paper we give formulas, in terms of a, b, c, d, for the genus, the Frobenius
number, and the set of pseudo-Frobenius numbers of ⟨a, b, cb − da⟩ in
the case in which the interval $[a/c, b/d]$ contains some integer.
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 1 Ağustos 2015 |
Yayımlandığı Sayı | Yıl 2015 Cilt: 44 Sayı: 4 |