Atomic density of arithmetical congruence monoids
N Olsson, C O'Neill, D Rawling - Semigroup Forum, 2024 - Springer
Consider the set M a, b={n∈ Z≥ 1: n≡ a mod b}∪{1} for a, b∈ Z≥ 1. If a 2≡ a mod b, then
M a, b is closed under multiplication and known as an arithmetic congruence monoid (ACM) …
M a, b is closed under multiplication and known as an arithmetic congruence monoid (ACM) …
On atomic density of numerical semigroup algebras
AA Antoniou, RAC Edmonds, B Kubik… - Journal of …, 2022 - projecteuclid.org
A numerical semigroup S is a cofinite, additively closed subset of the nonnegative integers
that contains 0. We initiate the study of atomic density, an asymptotic measure of the …
that contains 0. We initiate the study of atomic density, an asymptotic measure of the …
On the factorization invariants of arithmetical congruence monoids
ST Chapman, C Liu, A Ma, A Zhang - arXiv preprint arXiv:2210.01224, 2022 - arxiv.org
In this paper, we study various factorization invariants of arithmetical congruence monoids.
The invariants we investigate are the catenary degree, a measure of the maximum distance …
The invariants we investigate are the catenary degree, a measure of the maximum distance …
[PDF][PDF] My research involves combinatorial aspects of semigroup theory and discrete geometry, with an emphasis on computation, algorithms, and the development …
C O'NEILL - cdoneill.sdsu.edu
Computer software plays a prominent role in my research, and Section 1 details some of the
software packages to which I have contributed. The remaining sections focus on my …
software packages to which I have contributed. The remaining sections focus on my …
[PDF][PDF] On the periodicity of irreducible elements in arithmetical congruence monoids
C O'Neill - 2017 - pdfs.semanticscholar.org
On the periodicity of irreducible elements in arithmetical congruence monoids Page 1 On the
periodicity of irreducible elements in arithmetical congruence monoids Christopher O’Neill …
periodicity of irreducible elements in arithmetical congruence monoids Christopher O’Neill …
[引用][C] My research involves combinatorial aspects of semigroup theory, commutative algebra, and discrete geometry, with an emphasis on computation, algorithms …
C O'NEILL