Mathematics 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 A Seifu 3 min read

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