Fields, Rings, and Homomorphisms: Illustrations from the Fibonacci Sequence

  • Joan M. Holland
Part of the Introductory Monographs in Mathematics book series (INMOMA)


It becomes necessary to explain the technical term ‘field’ in order to be able to use it with precision. A field is a structure consisting of a set whose elements are related by two binary operations (i.e. rules of combination) as opposed to a group whose elements are related by one only. The elements are closed under both operations, usually addition and multiplication, and each operation has the commutative and associative properties. In symbols:


Normal Subgroup Finite Field Identity Element Distributive Property Quotient Group 
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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Copyright information

© Joan M. Holland 1972

Authors and Affiliations

  • Joan M. Holland
    • 1
  1. 1.Bishop Otter CollegeChichesterUK

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