13 citations · 46 across the 21 of their papers we have counts for
7 papers · 1 filter
Prime groupoid graded rings with applications to partial skew groupoid rings
Paula S. E. Moreira, Johan Öinert
In this paper, we investigate primeness of groupoid graded rings. We provide a set of necessary and sufficient conditions for primeness of a nearly-epsilon strongly groupoid graded…
The ideal structure of partial skew groupoid rings with applications to topological dynamics and ultragraph algebras
Dirceu Bagio, Daniel Gonçalves, Paula Savana Estácio Moreira +1
Given a partial action of a groupoid on a ring , we study the associated partial skew groupoid ring , which carries a natural -grading. We show that th…
Pure semisimple and Köthe group rings
Samaneh Baghdari, Johan Öinert
In this article we provide a complete characterization of abelian group rings which are Köthe rings. We also provide characterizations of (possibly non-abelian) group rings over di…
Non-Abelian extensions of groupoids and their groupoid rings
Natã Machado, Johan Öinert, Stefan Wagner
We present a geometrically oriented classification theory for non-Abelian extensions of groupoids generalizing the classification theory for Abelian extensions of groupoids by West…
Non-unital Ore extensions
Patrik Lundström, Johan Öinert, Johan Richter
In this article, we study Ore extensions of non-unital associative rings. We provide a characterization of simple non-unital differential polynomial rings , under the hypot…
Graded von Neumann regularity of rings graded by semigroups
Daniel Lännström, Johan Öinert
In this article, we give a complete characterization of semigroup graded rings which are graded von Neumann regular. We also demonstrate our results by applying them to several cla…
Generating numbers of rings graded by amenable and supramenable groups
Karl Lorensen, Johan Öinert
A ring has {\it unbounded generating number} (UGN) if, for every positive integer , there is no -module epimorphism . For a ring $R=\bigoplus_{g\in G} R_g…