Kauta, John S. (2012) Hereditary orders in the quotient ring of a skew polynomial ring. Proceedings of the American Mathematical Society, 140 (5). pp. 14731481. ISSN 00029939
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Abstract
Let K be a field, and let σ be an automorphism of K of finite order. Let K(X; σ) be the quotient ring of the skew polynomial ring K[X; σ]. Then any order in K(X; σ) which contains K and its center is a valuation ring of the center of K(X; σ) is a crossedproduct algebra Af, where f is some normalized 2cocycle. Associated to f is a subgroup H of [σ] and a graph. In this paper, we determine the connections between hereditaryness and maximal order properties of Af and the properties of H, f and the graph of f.
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 23:00 
Last Modified:  01 Aug 2016 23:48 
URI:  http://repository.usp.ac.fj/id/eprint/7015 
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