LetRbe a Dedekind domain with quotient fieldKand letGbe a finite group. Let α: G× G→ R\{0}
be a generalized 2-cocycle, ie, not necessarily taking its values in the units ofR, and …

Let R be a domain and G a group. Let α: G× G→ R∖{0} be a generalized 2-cocycle, ie, not
necessarily taking its values in the units of R, and consider the generalized twisted group …

In considering this question an obvious class of groups to consider is the class of torsion-
free polycyclic-by-finite groups, because if G is such a group and J a Noetherian domain …

Let $ G $ be a finite group and let $\Lambda=\oplus_ {g\in G}\Lambda_ {g} $ be a strongly $
G $-graded $ R $-algebra, where $ R $ is a commutative ring with unity. We prove that if $ R …

Generalized crossed products, sometimes called strongly graded rings, appear quite
naturally in the theory of splitting rings for Azumaya algebras over rings with nontrivial Picard …

If G is any group and R is a graded ring of type G, R= aoE c R,, then R is said to be strongly
graded by G if we have: R, R,= R,, for every 0, TE G. In case G is a finite group we will refer to …

In this paper we study rings R which are strongly graded by a finite group G, with unit
element e, such that the initial subring R, is an order which is either hereditary, tame, or …

In this paper, we describe the prime ideals $ P $ in crossed products $ R\ast G $ with $ R $ a
right Noetherian ring and with $ G $ a polycyclic-by-finite group. This is achieved through a …

Let R be a discrete valuation ring and G a finite group. Let α: G× G→ R\{0} be a generalized
2-cocycle, ie not necessarily taking its values in the units of R, and consider the generalized …

Let $ G $ be a group, $\Lambda=\bigoplus_ {\sigma\in G}\Lambda_ {\sigma} $ a strongly
graded ring by $ G $, $ H $ a subgroup of $ G $ and $\Lambda_ {H}=\bigoplus_ {\sigma\in …