Ore algebra is an algebra of noncommutative polynomials representing linear operators for functional equations such as linear differential or difference equations. Ore polynomials satisfy particular commutation relations.
Ore Algebra
This entry contributed by Bhuvanesh Bhatt
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References
Abramov, S. A.; Le, H. Q.; and Li, Z. "OreTools: a Computer Algebra Library for Univariate Ore Polynomial Rings." Technical Report CS-2003-12, School of Computer Science, University of Waterloo, Ontario, Canada. http://www.ccas.ru/sabramov/ps/Oretools.ps.Labahn, G. and Li, Z. "Hyperexponential Solutions of Finite-Rank Ideals in Uncoupled Ore Algebra." ISSAC 2004. To appear.Ore, Ø. "The Theory of Non-Commutative Polynomials." Ann. Math. 34, 480-508, 1933.Referenced on Wolfram|Alpha
Ore AlgebraCite this as:
Bhatt, Bhuvanesh. "Ore Algebra." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/OreAlgebra.html