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On the Numerical Semigroup Generated by 2 k − m ⋅ 2 n + i − 1 | i ∈ ℕ
2022
Journal of Mathematics
Preserved Fulltext
Let k , n be two positive integers such that 2 ≤ k ≤ 2 n and m be an odd number with 1 ≤ m < 2 k − 1 . Denote by T k , m , n a numerical semigroup generated by 2 k − m ⋅ 2 n + i − 1 | i ∈ ℕ . In this paper, we give the formula for the embedding dimension of T k , m , n . In particular, the formulas for computing the Frobenius number and the genus of T k , 2 t + 1 , n with 2 ≤ t < k − 1 are given.
doi:10.1155/2022/6590211
fatcat:xdn5zzw7fjghjdioldp74eycp4