Defining ideals of some numerical semigroup rings with arithmetic pseudo-Frobenius numbers
Abstract
In this paper, we study defining ideals of numerical semigroup rings. Let H be a numerical semigroup with multiplicity a0 and embedding dimension n. Assuming a0/2+1≤ n, we prove that the defining ideal of H is determinantal when the set of pseudo-Frobenius numbers forms an arithmetic sequence of length n-1. This partly resolves a conjecture of Cuong, Kien, Truong and, Matsuoka.
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.