Aug 18, 2019 · Abstract:A numerical semigroup S is an additive subsemigroup of the non-negative integers, containing zero, with finite complement.

The elasticity of x, denoted 𝜌 ⁡ ( 𝑥 ) , is the largest number of atoms that can be used, divided by the smallest number. Clearly 𝜌 ⁡ ( 𝑥 ) ≥ 1 ; if equality ...

Aug 18, 2019 · Its multiplicity m is its smallest nonzero element. The Apéry set of S is the set of elements Ap(S) = {n ∈ S : n − m 6∈ S}.

The Apéry set of S is the set of elements Ap(S) = {n ∈ S : n − m ∈ S}. Fixing a numerical semigroup, we ask how many elements of its Apéry set have nonunique ...

Abstract. A numerical semigroup $S$ is an additive subsemigroup of the non-negative integers, containing zero, with finite complement.

Let O be an order in a central simple algebra A over a number field. The elasticitity ρ(O) is the supremum of all fractions k/l such that there exists an ...

Aug 16, 2020 · Its multiplicity m is its smallest nonzero element. The Apéry set of S is the set Ap(S) = {n ∈ S : n − m / ∈ S}. Fixing a numerical semigroup ...

Elasticity in Apéry sets. Jackson Autry Mathematics and Statistics Department ... The Apéry set of S S S is the set Ap ⁡ ( S ) = { n ∈ S : n − m ∉ S } ...

Oct 22, 2024 · A numerical semigroup S is an additive subsemigroup of the nonnegative integers, containing zero, with finite complement.

The maximum elasticity in this finite set of elements gives ρ(S). ... This may be viewed through the lens of Apéry sets (see, e.g., Lemma ... On the set of ...