Symmetric (not Complete Intersection) Semigroups Generated by Five Elements

2016/04/03 by Leonid G. Fel, Fel, Leonid
Computer Science · Decision Sciences · #Advanced Algebra and Logic #Commutative Algebra (math.AC) #FOS: Mathematics #Fuzzy and Soft Set Theory #Primary - 20M14 #Secondary -11P81 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1604.00577

openalex publication_date 2016/04/03 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We consider symmetric (not complete intersection) numerical semigroups S₅, generated by five elements, and derive inequalities for degrees of syzygies of S₅ and find the lower bound F₅ for their Frobenius numbers. We study a special case W₅ of such semigroups, which satisfy the Watanabe Lemma, and show that the lower bound F_5w for the Frobenius number of the semigroup W₅ is stronger than F₅.

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