Introducing Crystalline Graded Algebras Page 1 Algebr Represent Theor (2008) 11:133–148
DOI 10.1007/s10468-007-9078-x Introducing Crystalline Graded Algebras Erna …

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 …

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 …

Crystalline graded rings are generalizations of certain classes of rings like generalized
twisted group rings, generalized Weyl algebras, and generalized skew crossed products …

Maximal Orders over an algebra are a generalization of the concept of a Dedekind domain.
The definition given in Maximal Orders by Reiner, assumes that the field over which the …