Unboundedness of irreducible decompositions of numerical semigroups

Autor:	Bogart, Tristram, Fakhari, Seyed Amin Seyed
Rok vydání:	2024
Předmět:	Mathematics - Commutative Algebra Mathematics - Number Theory 20M14 06F05 11D07
Druh dokumentu:	Working Paper
Popis:	We present two families of numerical semigroups and show that for each family, the number of required components in an irreducible decomposition cannot be bounded by any given integer. This gives a negative answer to a question raised by Delgado, Garc\'ia-S\'anchez and Rosales. Comment: 4 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.11080 Zobrazit plný text záznamu View this record from Arxiv