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Hereditary orders in the quotient ring of a skew polynomial ring

Kauta, John S. (2012) Hereditary orders in the quotient ring of a skew polynomial ring. Proceedings of the American Mathematical Society, 140 (5). pp. 1473-1481. ISSN 0002-9939

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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 crossed-product algebra Af, where f is some normalized 2-cocycle. Associated to f is a subgroup H of [σ] and a graph. In this paper, we determine the connections between hereditary-ness 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

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