Hereditary crossed products

Show full item record

Title: Hereditary crossed products
Author: Haefner, Jeremy; Janusz, Gerald
Abstract: We characterize when a crossed product order over a maximal order in a central simple algebra by a finite group is hereditary. We need only concentrate on the cases when the group acts as inner automorphisms and when the group acts as outer automorphisms. When the group acts as inner automorphisms, the classical group algebra result holds for crossed products as well; that is, the crossed product is hereditary if and only if the order of the group is a unit in the ring. When the group is acting as outer automorphisms, every crossed product order is hereditary, regardless of whether the order of the group is a unit in the ring.
Description: First published in Transactions of the American Mathematical Society in vol. 352, no. 7, published by the American Mathematical Society.
Record URI: http://hdl.handle.net/1850/9702
Date: 2000-03-27

Files in this item

Files Size Format View
JHaefnerArticle2000.pdf 361.5Kb PDF View/Open

The following license files are associated with this item:

This item appears in the following Collection(s)

Show full item record

Search RIT DML


Advanced Search

Browse