Zaqueu Cristiano

collaborators

3 papers

math.RA2026

Separability for relative extensions of object unital strongly groupoid graded rings

Zaqueu Cristiano, Patrik LundstrÃ¶m

We prove that if $R$ is a ring that is object unital and strongly graded by a groupoid $I^$ , and if $I^$ is a wide subgroupoid of $I^$ , then $R / R_{I^} $ is separable if and only if, f…

math.RA2025

Graded chain conditions and graded Jacobson radical of groupoid graded modules

Zaqueu Cristiano, Wellington Marques de Souza, Javier SÃ¡nchez

In this work, we continue to lay the groundwork for the theory of groupoid graded rings and modules. The main topics we address include graded chain conditions, the graded Jacobson…

math.RA2025

Groupoid Graded Semisimple Rings

Zaqueu Cristiano, Wellington Marques de Souza, Javier SÃ¡nchez

We develop the theory of groupoid graded semisimple rings. Our rings are neither unital nor one-sided artinian. Instead, they exhibit a strong version of having local units and bei…