Let be a ring graded by an arbitrary grading abelian group Γ. We say that R is a uniformly
graded-coherent ring if there is a map ϕ: ℕ→ ℕ such that for every n∈ ℕ, and any nonzero …

We construct a ring that is strongly graded by the integers such that it is not graded
equivalent to a skew group ring. This is in contrast to the finite case and the results of Cohen …

We show, that for a non-degenerate G-graded ring A, Al might have an Artinian quotient ring
without A having one, while for a strongly G-graded ring A, A and A1 have Artinian quotient …

We determine the commutant of homogeneous subrings in strongly groupoid graded rings in
terms of an action on the ring induced by the grading. Thereby we generalize a classical …

Let $ R $ be a ring graded by a group $ G $. We are concerned with describing those $ G $-
graded rings that are graded equivalent to $ G $-crossed products. We give necessary and …

On perfect graded rings Page 1 COMMUNICATIONS IN ALGEBRA, 14(8), 2363-2371 (1991)
ON PERFECT GRADED RINGS Margaret Beattie Eric Jespers Mount Allison University …

06 6 that R&= Rm. These rings have been studied by EC fhde in I41, where they were called
Clifford systems. In section 1 we present some basic general results and in section 2 we …

Let R be a group graded ring. The map (,): R× R→ 1 defined by:(x, y)=(xy) 1, is an inner
product on R. In this paper we investigate aspects of nondegeneracy of the product, which is …

af-G graded ring of type G, where G is a finitely generated abelian group, and if Re is a
noetherian ring (eis the unit elementóte), then В is noethe-rian. In this note we prove a …

Let G be a group and R be a G‐graded ring with non‐zero unity. The goal of our article is
reconsidering some well‐known concepts on graded rings using a group homomorphism α …