Uniformly graded-coherent rings
C Bakkari, N Mahdou, A Riffi - Quaestiones Mathematicae, 2021 - Taylor & Francis
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 …
graded-coherent ring if there is a map ϕ: ℕ→ ℕ such that for every n∈ ℕ, and any nonzero …
A strongly graded ring that is
J Haefner - Communications in Algebra, 1994 - Taylor & Francis
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 …
equivalent to a skew group ring. This is in contrast to the finite case and the results of Cohen …
Classical quotient rings of group graded rings
A Jensen, S Jøndrup - Communications in Algebra, 1992 - Taylor & Francis
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 …
without A having one, while for a strongly G-graded ring A, A and A1 have Artinian quotient …
[PDF][PDF] Miyashita action in strongly groupoid graded rings
J Öinert, P Lundström - International Electronic Journal of Algebra, 2012 - dergipark.org.tr
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 …
terms of an action on the ring induced by the grading. Thereby we generalize a classical …
On when a graded ring is graded equivalent to a crossed product
J Haefner - Proceedings of the American Mathematical Society, 1996 - ams.org
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 …
graded rings that are graded equivalent to $ G $-crossed products. We give necessary and …
On perfect graded rings
M Beattie, E Jespers - Communications in Algebra, 1991 - Taylor & Francis
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 …
ON PERFECT GRADED RINGS Margaret Beattie Eric Jespers Mount Allison University …
On strongly graded rings and crossed products
C Nšstšsescu, F Van Oystaeyen - Communications in algebra, 1982 - Taylor & Francis
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 …
Clifford systems. In section 1 we present some basic general results and in section 2 we …
A remark on strongly graded rings with finiteness conditions
Ş RAIANU - Bulletin mathématique de la Société des Sciences …, 1986 - JSTOR
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 …
noetherian ring (eis the unit elementóte), then В is noethe-rian. In this note we prove a …
On Properties of Graded Rings with respect to Group Homomorphisms
AS Alshehry, R Abu-Dawwas… - International Journal of …, 2023 - Wiley Online Library
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 …
reconsidering some well‐known concepts on graded rings using a group homomorphism α …