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Abstract

A set is equipped with an algebraic structure by defining operations on elements of the set. The operands may also belong to different sets. The type of the sets considered determines the branch of algebra, for example:

  • boolean algebra for truth values

  • algebra of numbers for sets of numbers

  • algebra of sets for subsets

  • vector algebra for vector spaces

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© 2001 Springer-Verlag Berlin Heidelberg

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Pahl, P.J., Damrath, R. (2001). Algebraic Structures. In: Mathematical Foundations of Computational Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56893-0_3

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  • DOI: https://doi.org/10.1007/978-3-642-56893-0_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-63238-9

  • Online ISBN: 978-3-642-56893-0

  • eBook Packages: Springer Book Archive

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