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math.RA2026
Invertibility of structured perturbations of singular matrices over unital rings
Johan Öinert
In this article, we study the invertibility of matrices of the form , where and are square matrices over a unital, not necessarily commutative, ring and is singu…
math.RA2026
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…
math.RA2026
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…