13 citations · 46 across the 21 of their papers we have counts for
4 papers · 1 filter
Simple Semigroup Graded Rings
Patrik Nystedt, Johan Öinert
We show that if is a, not necessarily unital, ring graded by a semigroup equipped with an idempotent such that is cancellative at , the non-zero elements of $eGe…
Maximal commutative subrings and simplicity of partial skew group rings
Johan Öinert
In this article, we show that for a partial skew group ring R*G, where R is a commutative ring, each non-zero ideal of R*G intersects R non-trivially if and only if R is a maximal…
Simplicity of partial skew group rings and maximal commutativity
Daniel Gonçalves, Johan Öinert, Danilo Royer
Let R0 be a commutative associative ring (not necessarily unital), G a group and alpha a partial action by ideals that contain local units. We show that R0 is maximal commutative i…
Simple Rings and Degree Maps
Patrik Nystedt, Johan Öinert
For an extension A/B of neither necessarily associative nor necessarily unital rings, we investigate the connection between simplicity of A with a property that we call A-simplicit…