Article Sep 5, 2026
Mathematicians Solve Open Problem on Complete Intersection Numerical Semigroups
A new paper by Minglang Li and Yizhi Zhang provides a complete characterization of which (embedding dimension, multiplicity) pairs can occur for complete intersection numerical semigroups. The answer: either (1,1) or any pair where embedding dimension e ≥ 2 and multiplicity m ≥ 2^(e-1). This settles a long-standing open problem posed by Moscariello and Sammartano.
matiyas 3 min read