Article ID Journal Published Year Pages File Type
4597056 Journal of Pure and Applied Algebra 2009 22 Pages PDF
Abstract

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.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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