On Isolated Gaps of Numerical Semigroups of embedding dimension two
Shubh N. Singh, Ranjan K. Ram
TL;DR
This paper provides a complete description and an exact formula for the isolated gaps in numerical semigroups of embedding dimension two, advancing the understanding of their structure.
Contribution
It explicitly characterizes all isolated gaps and derives a precise formula for their count in numerical semigroups of embedding dimension two.
Findings
Explicit description of all isolated gaps
Exact formula for the number of isolated gaps
Enhanced understanding of numerical semigroup structure
Abstract
We explicitly describe all the isolated gaps of any numerical semigroup of embedding dimension two, and we give an exact formula for the number of isolated gaps of these numerical semigroups.
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Taxonomy
Topicsadvanced mathematical theories · Advanced Banach Space Theory · Graph theory and applications