Groups, Fields and Complex Numbers

  • R. J. O’Brien
  • G. G. Garcia


Ordinary algebra and set, or Boolean, algebra are different. In this chapter we examine the idea that there are a whole range of different arithmetics, and hence algebras, and consider the problem of classifying sets by their axiomatic structures.


Commutative Group Complex Number Binary Operation Identity Element Binary Digit 
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Copyright information

© R. J. O’Brien and G. G. Garcia 1971

Authors and Affiliations

  • R. J. O’Brien
    • 1
  • G. G. Garcia
    • 2
  1. 1.University of SouthamptonUK
  2. 2.University of SouthamptonUK

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