Marcos Mazari-Armida

collaborators

3 papers

math.LO2026

On the abstract elementary class of acts with pure embeddings

Jonathan Feigert, Daniel Herden, Marcos Mazari-Armida

We study the abstract elementary class of acts with pure embeddings. In particular, we show that stability and superstability in this class can be characterized in terms of the mon…

math.LO2026

Examples of non-tame abstract elementary classes of abelian groups

Daniel Herden, Marcos Mazari-Armida, Michael D. Walton

We construct an abstract elementary class $K_{1}$ of torsion-free abelian groups such that $K_{1}$ is not $(< ℵ_{0})$ -tame but is $ℵ_{0}$ -tame. This answers a question of [BoVa17]…

math.LO2026

An unstable abstract elementary class of modules: A variation of Paolini-Shelah's example

Daniel Herden, Marcos Mazari-Armida, Michael D. Walton

We construct a class $K^$ of torsion-free abelian groups such that $K^= (K^, \leq_{p})$ is an abstract elementary class with $\operatorname{LS}(\hat{\mathbf{K}…