4 papers
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…
Primitives of continuous functions via polynomials
Patrik Lundström
We present an elementary self-contained folkloristic proof, using limits of primitives of Bernstein polynomials, for the existence of primitive functions of continuous functions de…
Chain conditions for rings with enough idempotents with applications to category graded rings
Patrik Lundström
We obtain criteria for when a ring with enough idempotents is left/right artinian or noetherian in terms of local criteria defined by the associated complete set of idempotents for…
Hilbert 90 for Algebras with Conjugation
Patrik Lundström
We show a version of Hilbert 90 that is valid for a large class of algebras many of which are not commutative, distributive or associative. This class contains the nth iteration of…