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Maximal Graded Orders over Crystalline Graded Rings
Tim Neijens, Fred Van Oystaeyen
Crystalline graded rings are generalizations of certain classes of rings like generalized twisted group rings, generalized Weyl algebras, and generalized skew crossed products. Whe…
Abelian Group Clifford Algebras
Tim Neijens, Fred Van Oystaeyen
In "A note on generalized Clifford algebras and representations" (Caenepeel, S.; Van Oystaeyen, F., Comm. Algebra 17 (1989) no. 1, 93--102.) generalized Clifford algebras were intr…
Dimension of Crystalline Graded Rings
Tim Neijens, Fred Van Oystaeyen
The global dimension of a ring governs many useful abilities. For example, it is semi-simple if the global dimension is 0, hereditary if it is 1 and so on. We will calculate the gl…
The Center of Crystalline Graded Rings
Tim Neijens, Fred Van Oystaeyen
In the first section of the paper, we will give some basic definitions and properties about Crystalline Graded Rings. In the following section we will provide a general description…