Factorizations for difference operators

DOI10.1186/s13662-015-0402-1zbMath1347.39019OpenAlexW2133384197WikidataQ59412902 ScholiaQ59412902MaRDI QIDQ738518

Yang Zhang, Jeffrey Bergen, Mark W. Giesbrecht, Pappur N. Shivakumar

Publication date: 2 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0402-1

zbMATH Keywords

difference operatorsfundamental theorem of algebrafactorizationsskew polynomial ring

Mathematics Subject Classification ID

Difference operators (39A70) Linear difference operators (47B39)

Related Items (4)

How to obtain lattices from \((f,\sigma,\delta)\)-codes via a generalization of construction A ⋮ HOW A NONASSOCIATIVE ALGEBRA REFLECTS THE PROPERTIES OF A SKEW POLYNOMIAL ⋮ COMPLETELY PRIME ONE-SIDED IDEALS IN SKEW POLYNOMIAL RINGS ⋮ Darboux transformations and Fay identities for the extended bigraded Toda hierarchy

Cites Work

• Vandermonde and Wronskian matrices over division rings
• Efficient decomposition of separable algebras.
• On series solutions of \(y-f(x)y=0\) and applications
• Theory of non-commutative polynomials
• Jacobson radicals of ring extensions.
• Irreducibility criteria for skew polynomials.
• Modern Computer Algebra
• SKEW POWER SERIES RINGS OF DERIVATION TYPE
• DERIVATION ALGEBRAS OF RINGS RELATED TO HEISENBERG ALGEBRAS
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