1 citations · 1 across the 6 of their papers we have counts for
7 papers
An infinite completely normal basis theorem
Patrik Lundström
Let be an arbitrary Galois extension with group , equipped with the Krull topology. Let denote the -vector space of continuous functions , with dis…
Very good gradings on structural matrix rings
Patrik Lundström, Johan Öinert, Laura Orozco +1
Let be a nonzero associative unital ring, let be a group, and let be a preorder on . A -grading on induces a very good -grading on the structu…
Hilbert's basis theorem for Poisson Ore extensions
Per Bäck, Patrik Lundström, Johan Öinert +1
We prove an analogue of Hilbert's basis theorem for Poisson Ore extensions and Poisson Laurent Ore extensions. We also obtain corresponding results for iterated Poisson Ore extensi…
Separable functors and firm modules
Patrik Lundström
We develop a theory of separable ring extensions and separable functors for nonunital rings in the setting of firm modules. We prove nonunital analogues of classical results on fun…
Very good gradings on matrix rings are epsilon-strong
Patrik Lundström, Johan Öinert, Laura Orozco +1
We investigate properties of group gradings on matrix rings , where is an associative unital ring and is a positive integer. More precisely, we introduce very good…
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…
Prime group graded rings with applications to partial crossed products and Leavitt path algebras
Daniel Lännström, Patrik Lundström, Johan Öinert +1
In this article we generalize a classical result by Passman on primeness of unital strongly group graded rings to the class of nearly epsilon-strongly group graded rings which are…