Marcos Mazari-Armida

most citedCharacterizing categoricity in several classes of modules

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 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}…

math.RA2022★ 1 cited

Characterizing categoricity in several classes of modules

Marcos Mazari-Armida

We show that the condition of being categorical in a tail of cardinals can be characterized algebraically for several classes of modules. $T h eor e m .$ Assume $R$ is an associative ri…