Relations of the algebra of polynomial integrodifferential operators

DOI10.1155/2019/2409193zbMath1453.16025OpenAlexW2922517763WikidataQ128210007 ScholiaQ128210007MaRDI QIDQ2337116

Andre S. E. Mialebama Bouesso, G. Mobouale Wamba

Publication date: 19 November 2019

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/2409193

zbMATH Keywords

two-sided idealspolynomial integrodifferential operators

Mathematics Subject Classification ID

Integral operators (47G10) Rings of differential operators (associative algebraic aspects) (16S32) Ideals in associative algebras (16D25)

Uses Software

• Plural

Cites Work

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• The group of automorphisms of the algebra of polynomial integro-differential operators.
• The algebra of one-sided inverses of a polynomial algebra.
• The Jacobian algebras.
• Hochschild homology and cohomology of generalized Weyl algebras.
• Pure injective envelopes of finite length modules over a generalized Weyl algebra
• Intersection of ideals in a polynomial ring over a dual valuation domain
• The algebra of integro-differential operators on an affine line and its modules.
• An analogue of the conjecture of Dixmier is true for the algebra of polynomial integro-differential operators.
• Locally finite simple weight modules over twisted generalized Weyl algebras.
• Indecomposable generalized weight modules over the algebra of polynomial integro-differential operators
• The algebra of integro-differential operators on a polynomial algebra
• ISOMORPHISMS BETWEEN QUANTUM GENERALIZED WEYL ALGEBRAS

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