2 papers
math.CT2026
A note on coextensivity of bounded hoops
Michael Hoefnagel, Giuseppe Metere, Danielle Kleyn
The main aim of this note is to provide a characterisation of coextensive morphisms in the category of bounded hoops. This characterisation is then used to show that several catego…
math.RA2024
On structures of the ring of arithmetical functions: prime ideals and beyond
Amartya Goswami, Danielle Kleyn, Kerry Porrill
The aim of these notes is to study some of the structural aspects of the ring of arithmetical functions. We prove that this ring is neither Noetherian nor Artinian. Furthermore, we…