Numerical semigroups with unique Apéry expansions

Authors

Sudip Pandit, Indian Institute of Technology Gandhinagar
Joydip Saha, Indian Statistical Institute, Kolkata
Indranath Sengupta, Indian Institute of Technology Gandhinagar

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

Recommended Citation

Pandit, Sudip; Saha, Joydip; and Sengupta, Indranath, "Numerical semigroups with unique Apéry expansions" (2023). Journal Articles. 3617.
https://digitalcommons.isical.ac.in/journal-articles/3617