Abstract
Let R be a relation from A to B and S a relation from B to C. Then we define the composition S ○ R of R and S as the set of all (a, c) in A × C such that there is an element b in B with aRb and bSc. S ○ R is a relation from A to C.
Keywords
- Equivalence Relation
- Binary Relation
- Inverse Function
- Logical Operator
- Maximal Element
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References
See Halmos (1974), Ellickson (1993), and Hildenbrand (1974).
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© 2010 Springer-Verlag Berlin Heidelberg
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Sydsæter, K., Strøm, A., Berck, P. (2010). Set Theory. Relations. Functions. In: Economists’ Mathematical Manual. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-28518-2_1
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DOI: https://doi.org/10.1007/978-3-540-28518-2_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26088-2
Online ISBN: 978-3-540-28518-2
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