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Abstract

Much of algebra can be done using only very little set theory; all that is needed is a means of comparing infinite sets, and the axiom of choice in the form of Zorn’s lemma. These topi cs occupy Sections 1.1 and 1.2. They are followed in Section 1.3 by an introduction to graph theory. This is an extensive theory with many applications in algebra and elsewhere; all we shall do here is to present a few basic results, some of which will be used later, which convey the flavour of the topic.

Keywords

Maximal Element Cardinal Number Maximal Chain Lower Segment Countable Sequence 
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

© Professor P.M. Cohn 2003

Authors and Affiliations

  • P. M. Cohn
    • 1
  1. 1.Department of MathematicsUniversity College LondonLondonUK

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