8 citations · 20 across the 7 of their papers we have counts for
5 papers · 1 filter
Simple graded rings, non-associative crossed products and Cayley-Dickson doublings
Patrik Nystedt, Johan Öinert
We show that if a non-associative unital ring is graded by a hypercentral group, then the ring is simple if and only if it is graded simple and the center of the ring is a field. T…
Von-Neumann finiteness and reversibility in some classes of non-associative algebras
Erik Darpö, Patrik Nystedt
We investigate criteria for von-Neumann finiteness and reversibility in some classes of non-associative algebras. We show that all finite-dimensional alternative algebras, as well…
Epsilon-strongly graded rings, separability and semisimplicity
Patrik Nystedt, Johan Öinert, Héctor Pinedo
We introduce the class of epsilon-strongly graded rings and show that it properly contains both the class of strongly graded rings and the class of unital partial crossed products.…
Artinian and noetherian partial skew groupoid rings
Patrik Nystedt, Johan Öinert, Héctor Pinedo
Let be a partial action of a groupoid on a non-associative ring and let be the associa…
Partial Category Actions on Sets and Topological Spaces
Patrik Nystedt
We introduce (continuous) partial category actions on sets (topological spaces) and show that each such action admits a universal globalization. Thereby, we obtain a simultaneous g…