Abstract
This article considers numerical semigroups S that have a nonprincipal relative ideal I such that μS(I)μS(S - I) = μS(I + (S - I)). We show the existence of an infinite family of such pairs (S, I) in which I + (S - I) = S\{0}. We also show examples of such pairs that are not members of this family. We discuss the computational process used to find these examples and present some open questions pertaining to them.
Original language | English (US) |
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Pages (from-to) | 3475-3486 |
Number of pages | 12 |
Journal | Communications in Algebra |
Volume | 34 |
Issue number | 9 |
DOIs | |
State | Published - Sep 1 2006 |
Keywords
- Dual
- Minimal generating set
- Numerical semigroup
- Relative ideal
ASJC Scopus subject areas
- Algebra and Number Theory