Semigroups with fixed multiplicity and embedding dimension
Abstract
Given m∈ N, a numerical semigroup with multiplicity m is called packed numerical semigroup if its minimal generating set is included in \m,m+1,…, 2m-1\. In this work, packed numerical semigroups are used to built the set of numerical semigroups with fixed multiplicity and embedding dimension, and to create a partition in this set. Moreover, Wilf's conjecture is checked in the tree associated to some packed numerical semigroups.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.