Numerical semigroups from rational matrices III: semigroups of matricial dimension two and a counterexample to the lonely element conjecture
Abstract
We characterize semigroups in \0,1,2,…\ of matricial dimension 2 and produce a counterexample to the conjecture that a numerical semigroup whose small elements are lonely has matricial dimension at most 2.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.