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math.RA2025
Nonunital prime rings graded by ordered groups
Daniel Lännström, Patrik Lundström, Johan Öinert +1
Let be a group with identity element , and suppose that is an associative -graded ring that is not necessarily unital. In the case where is an ordered group, we s…
math.RA2018
Epsilon-strongly groupoid graded rings, the Picard inverse category and cohomology
Patrik Nystedt, Johan Öinert, Héctor Pinedo
We introduce the class of partially invertible modules and show that it is an inverse category which we call the Picard inverse category. We use this category to generalize the cla…