Rachael Alvir

collaborators

2 papers

math.LO2024

Scott Complexity of Reduced Abelian $p$ -Groups

Rachael Alvir, Barbara F. Csima, Luke MacLean

Given a reduced abelian $p$ -group, we give an upper bound on the Scott complexity of the group in terms of its Ulm invariants. For limit ordinals, we show that this upper bound is…

math.LO2023

Effectiveness of Walker's Cancellation Theorem

Layth Al-Hellawi, Rachael Alvir, Barbara F. Csima +1

Walker's Cancellation theorem for abelian groups tells us that if $A$ is finitely generated and $G$ and $H$ are such that $A \oplus G ≅ A \oplus H$ , then $G ≅ H$ . Michael D…

Scott Complexity of Reduced Abelian p-Groups

Effectiveness of Walker's Cancellation Theorem

Scott Complexity of Reduced Abelian $p$ -Groups