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
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
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
Download citation
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