Numerical Semigroups Generated by Concatenation of Arithmetic Sequences
Ranjana Mehta, Joydip Saha, Indranath Sengupta
TL;DR
This paper introduces a new class of numerical semigroups formed by concatenating arithmetic sequences, revealing their unique algebraic properties and behaviors.
Contribution
It defines and explores the properties of numerical semigroups generated by concatenated arithmetic sequences, a novel construction in the field.
Findings
Exhibits unique algebraic behaviors
Provides new examples of numerical semigroups
Analyzes structural properties of the generated semigroups
Abstract
We introduce the notion of numerical semigroups generated by concatenation of arithmetic sequences and show that this class of numerical semigroups exhibit multiple interesting behaviours.
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