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Basic Module Theory over Non-commutative Rings with Computational Aspects of Operator Algebras

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Algebraic and Algorithmic Aspects of Differential and Integral Operators (AADIOS 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8372))

Abstract

The present text surveys some relevant situations and results where basic Module Theory interacts with computational aspects of operator algebras. We tried to keep a balance between constructive and algebraic aspects.

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Authors and Affiliations

  1. Departamento de Álgebra, Universidad de Granada, Spain

    José Gómez-Torrecillas

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  1. José Gómez-Torrecillas
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  1. XLIM, DMI, University of Limoges, 123, avenue Albert Thomas, 87060, Limoges cedex, France

    Moulay Barkatou  & Thomas Cluzeau  & 

  2. Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Altenberger Str. 69, 4040, Linz, Austria

    Georg Regensburger

  3. SMAS, University of Kent, CT2 7NF, Canterbury, UK

    Markus Rosenkranz

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Gómez-Torrecillas, J. (2014). Basic Module Theory over Non-commutative Rings with Computational Aspects of Operator Algebras. In: Barkatou, M., Cluzeau, T., Regensburger, G., Rosenkranz, M. (eds) Algebraic and Algorithmic Aspects of Differential and Integral Operators. AADIOS 2012. Lecture Notes in Computer Science, vol 8372. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54479-8_2

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