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The Jacobian algebras

Bavula, V. (2009) The Jacobian algebras. Journal of Pure and Applied Algebra, 213 (5). pp. 664-685. ISSN 0022-4049


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A new class of algebras (the Jacobian algebras) is introduced and studied in detail. The Jacobian algebras are obtained from the Weyl algebras by inverting (not in the sense of Ore) certain elements. Surprisingly, the Jacobian algebras and the Weyl algebras have little in common. Moreover, they have almost opposite properties.

Item Type: Article
Copyright, Publisher and Additional Information: © 2009 Elsevier. This is an author produced version of a paper subsequently published in the 'Journal of Pure and Applied Algebra'. Uploaded in accordance with the publisher's self-archiving policy.
Keywords: the Jacobian algebras, prime ideal, prime spectrum, unique factorization of ideal, minimal primes, group of units, commutant, integro-differential operators
Institution: The University of Sheffield
Academic Units: The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield)
Depositing User: Miss Anthea Tucker
Date Deposited: 23 Mar 2009 17:46
Last Modified: 16 Nov 2015 11:48
Published Version: http://dx.doi.org/10.1016/j.jpaa.2008.08.010
Status: Published
Publisher: Elsevier
Refereed: Yes
Identification Number: 10.1016/j.jpaa.2008.08.010
URI: http://eprints.whiterose.ac.uk/id/eprint/7978

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