4 papers
Hopkins-Levitzki Type Theorems for Groupoid Graded Rings
Zaqueu Cristiano, Wellington Marques de Souza, Javier Sánchez
We continue the study of the basic theory of object-unital groupoid graded rings. In this work, we are especially interested in nilpotency conditions on the graded Jacobson radical…
Separability for relative extensions of object unital strongly groupoid graded rings
Zaqueu Cristiano, Patrik Lundström
We prove that if is a ring that is object unital and strongly graded by a groupoid , and if is a wide subgroupoid of , then is separable if and only if, for e…
Graded chain conditions and graded Jacobson radical of groupoid graded modules
Zaqueu Cristiano, Wellington Marques de Souza, Javier Sánchez
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…
Groupoid Graded Semisimple Rings
Zaqueu Cristiano, Wellington Marques de Souza, Javier Sánchez
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…