Almost Maximal Numerical Semigroups formed by Concatenation of Arithmetic Sequences
Ranjana Mehta, Joydip Saha, Indranath Sengupta
TL;DR
This paper investigates a specific class of numerical semigroups characterized by a particular relation between multiplicity and embedding dimension, focusing on those formed through concatenation of arithmetic sequences.
Contribution
It introduces a new class of numerical semigroups generated by concatenating arithmetic sequences and analyzes their properties.
Findings
Characterization of semigroups with multiplicity=embedding dimension+1
Construction methods for these semigroups
Structural properties derived from concatenation of sequences
Abstract
We study numerical semigroups with the property "multiplicity= embedding dimension+1", generated by concatenation of arithmetic sequences.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Rings, Modules, and Algebras