… that the global dimensions of certain skew group rings and crossed products are … dimensions
of certain skew group rings and crossed products of finite groups over simple Artinian rings. …

… dimension, cotorsion dimension and weak Gorenstein global dimension of the skew group
ring RσG and its coefficient ring R. … share the same homological dimensions. Several known …

… group acting on a ring R and H a subgroup of G. In this paper we compare some homological
dimensions over the skew group rings … RH, we show that the skew group rings RG and RH …

… and left regular ring then the same is true for any bijective skew PBW extension A of R. From
… of skew polynomial rings (see [Citation33]), we will construct the skew polynomial ring B: = R…

… In [13], the same author considered several homological dimensions of … ring and G is a finite
group. As a corollary, it was proven that the skew group ring AσG has finite global dimension …

… For trivial α or trivial σ, we get a skew group ring A σ G or a twisted group ring AαG, …
ordinary group ring AG. Group graded rings and their special cases crossed products and …

… In ?? 4 and 5 we compute invariants of the group system of a knot which are related to
the homology of cyclic coverings of the knot. Seifert [22, 23] showed by partly geometrical …

… We study the cyclic homology for a class of noncommutative polynomial rings known as skew
… In particular, we consider the cyclic homology of skew PBW extensions of derivation type, …

… ) The cohomology ring of a compact three-dimensional manifold. 2) The cohomology ring of
… applications of the homological theory of these graded skew-commutative rings. In particular…

… First of all we will set up a general notion of skew power series rings. In a skew power
series ring in one variable t over a ring R of coefficients the way the variable t commutes with a …