Numerical semigroups with unique Apéry expansions

Article Type

Research Article

Publication Title

Journal of Algebra and its Applications

Abstract

In this paper, we carry out a fairly comprehensive study of two special classes of numerical semigroups, one generated by the sequence of partial sums of an arithmetic progression and the other one generated by a shifted geometric progression, in embedding dimension 4. Both these classes have the common feature that they have unique expansions of the Apéry set elements.

DOI

https://10.1142/S0219498823501852

Publication Date

9-1-2023

Comments

Open Access, Green

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