On a class of hereditary crossed-product orders
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- by John S. Kauta PDF
- Proc. Amer. Math. Soc. 141 (2013), 1545-1549 Request permission
Abstract:
In this brief note, we revisit a class of crossed-product orders over discrete valuation rings introduced by D. E. Haile. We give simple but useful criteria, which involve only the two-cocycle associated with a given crossed-product order, for determining whether such an order is a hereditary order or a maximal order.References
- Darrell E. Haile, Crossed-products orders over discrete valuation rings, J. Algebra 105 (1987), no. 1, 116–148. MR 871749, DOI 10.1016/0021-8693(87)90182-7
- Manabu Harada, Some criteria for hereditarity of crossed products, Osaka Math. J. 1 (1964), 69–80. MR 174584
- I. Reiner, Maximal orders, London Mathematical Society Monographs, No. 5, Academic Press [Harcourt Brace Jovanovich, Publishers], London-New York, 1975. MR 0393100
Additional Information
- John S. Kauta
- Affiliation: Department of Mathematics, Faculty of Science, Universiti Brunei Darussalam, Bandar Seri Begawan, BE1410, Brunei
- Email: john.kauta@ubd.edu.bn
- Received by editor(s): August 7, 2010
- Received by editor(s) in revised form: September 2, 2011
- Published electronically: October 18, 2012
- Communicated by: Birge Huisgen-Zimmermann
- © Copyright 2012 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 141 (2013), 1545-1549
- MSC (2010): Primary 16H10, 16S35, 16E60, 13F30
- DOI: https://doi.org/10.1090/S0002-9939-2012-11451-0
- MathSciNet review: 3020842
Dedicated: Dedicated to the memory of my mom