Kauta, John S. (1998) On semihereditary Maximal Orders. Bulletin of the London Mathematical Society, 30 (3). pp. 251-257. ISSN 0024-6093
PDF
- Published Version
Restricted to Repository staff only Download (129kB) | Request a copy |
Abstract
Let A be an order integral over a valuation ring V in a central simple F-algebra, where F is the fraction field of V. We show that (a) if (Vh,Fh) is the Henselization of (V, F), then A is a semihereditary maximal order if and only A ⊗V Vh is a semihereditary maximal order, generalizing the result by Haile, Morandi and Wadsworth, and (b) if J(V) is a principal ideal of V, then a semihereditary V-order is an intersection of finitely many conjugate semihereditary maximal orders; if not, then there is only one maximal order containing the V-order.
Item Type: | Journal Article |
---|---|
Subjects: | Q Science > QA Mathematics |
Divisions: | Faculty of Science, Technology and Environment (FSTE) > School of Computing, Information and Mathematical Sciences |
Depositing User: | John Kauta |
Date Deposited: | 05 Nov 2013 22:21 |
Last Modified: | 05 Nov 2013 22:21 |
URI: | https://repository.usp.ac.fj/id/eprint/7006 |
Actions (login required)
View Item |