Maximal Graded Orders over Crystalline Graded Rings
Rings and Algebras
2009-03-27 v1
Abstract
Crystalline graded rings are generalizations of certain classes of rings like generalized twisted group rings, generalized Weyl algebras, and generalized skew crossed products. When the base ring is a commutative Dedekind domain, two constructions are given for producing maximal graded orders. On the way, a new concept appears, so-called, spectrally twisted group. Some general properties of it are studied. At the end of the paper several examples are considered.
Cite
@article{arxiv.0903.4652,
title = {Maximal Graded Orders over Crystalline Graded Rings},
author = {Tim Neijens and Fred Van Oystaeyen},
journal= {arXiv preprint arXiv:0903.4652},
year = {2009}
}