Binary Operations

  • Carol Whitehead
Part of the Macmillan Mathematical Guides book series (MG)


Consider the set ℝ of real numbers. We are familiar with the operations of arithmetic, such as addition, subtraction and multiplication, which combine a pair of numbers in ℝ to make a third number, denoted of course by x + y, x − y and xy or x × y. That is, x + y, x − y and x × y have a meaning, for every x, y ∈ ℝ. If we restrict our choice of x and y to the elements of the non—zero reals ℝ*, then x ÷ y also has a meaning for every x, y ∈ ℝ*. The following definition is a generalization of these examples.


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Copyright information

© Carol Whitehead 1988

Authors and Affiliations

  • Carol Whitehead
    • 1
  1. 1.Goldsmiths’ CollegeUniversity of LondonUK

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