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 …

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 …

Our investigation is motivated by analogy with classical Z-graded rings. There are many
theorems connecting the structure of a Ž-graded ring R= 6,,, R, and the initial component R …

We describe a general procedure by which a graded property of a groupgraded ring may be
shown to imply the corresponding ungraded property. The technique, originally used in the …

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 …

More on Crossed Product over the Support of Graded Rings1 Introduction Page 1
International Mathematical Forum, 5, 2010, no. 63, 3121 - 3126 More on Crossed Product …

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 …

One of the possible reduction techniques in Graded Ring Theory is to reduce the study of a
graded ring to the study of another graded ring whose grading is simpler. An illustration of …

One of the main problems in Graded Ring Theory is to see whether a graded module having
a certain property has a similar property when regarded without grading. This problem has …

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 …