Moulay Barkatou, Thomas Cluzeau, Georg Regensburger, Markus's Algebraic and Algorithmic Aspects of Differential and PDF

By Moulay Barkatou, Thomas Cluzeau, Georg Regensburger, Markus Rosenkranz (eds.)

ISBN-10: 3642544789

ISBN-13: 9783642544781

ISBN-10: 3642544797

ISBN-13: 9783642544798

This publication constitutes the court cases of the fifth foreign assembly on Algebraic and Algorithmic elements of Differential and fundamental Operators, AADIOS 2012, held on the purposes of machine Algebra convention in Sofia, Bulgaria, on June 25-28, 2012. the full of nine papers offered during this quantity contains 2 invited papers and seven normal papers that have been rigorously reviewed and chosen from thirteen submissions. the subjects of curiosity are: symbolic computation for operator algebras, factorization of differential/integral operators, linear boundary difficulties and green's operators, preliminary worth difficulties for differential equations, symbolic integration and differential galois idea, symbolic operator calculi, algorithmic D-module conception, rota-baxter algebra, differential algebra, in addition to discrete analogs and software program elements of the above.

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Extra resources for Algebraic and Algorithmic Aspects of Differential and Integral Operators: 5th International Meeting, AADIOS 2012, Held at the Applications of Computer Algebra Conference, ACA 2012, Sofia, Bulgaria, June 25-28, 2012, Selected and Invited Papers

Example text

5 Images and Kernels . . . . . . . . . . . . . . . . . . . . M. Barkatou et al. ): AADIOS 2012, LNCS 8372, pp. 23–82, 2014. c Springer-Verlag Berlin Heidelberg 2014 23 26 27 28 29 29 30 30 31 31 32 32 32 33 33 34 24 J. G´ omez-Torrecillas 2 Modules over D[x; σ, δ] . . . . . . . . . . . . . . . . . . . . . 1 Ore Extensions . . . . . . . . . . . . . . . . . . . . . . Definition of an Ore Extension.

3 Linear Algebra over a Non-commutative Ring . . . . . . . . . Morphisms between Free Modules and Matrices. . . . . . . . Presentations of Finitely Generated Modules. . . . . . . . . Presentations of Homomorphisms. . . . . . . . . . . . . . 4 Syzygies . . . . . . . . . . . . . . . . . . . . . . . . . 5 Images and Kernels . . . . . . . . . . . . . . . . . . . . M. Barkatou et al. ): AADIOS 2012, LNCS 8372, pp.

Filtrations and Gelfand-Kirillov dimension. . . . . . . . . . 2 PBW Algebras and Filtrations . . . . . . . . . . . . . . . From Filtrations to Quantum Relations. . . . . . . . . . . . Bounding Quantum Relations. . . . . . . . . . . . . . . . Is this Algebra PBW? . . . . . . . . . . . . . . . . . . . 3 Computation of the Gelfand-Kirillov Dimension . . . . . . . . Filtering Modules over PBW Algebras.

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Algebraic and Algorithmic Aspects of Differential and Integral Operators: 5th International Meeting, AADIOS 2012, Held at the Applications of Computer Algebra Conference, ACA 2012, Sofia, Bulgaria, June 25-28, 2012, Selected and Invited Papers by Moulay Barkatou, Thomas Cluzeau, Georg Regensburger, Markus Rosenkranz (eds.)


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