Are There Ordered Fields Beyond Real Numbers and Rationals?

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  • Thread starter Thread starter ashok vardhan
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SUMMARY

The discussion confirms that integers do not qualify as an ordered field. It highlights that there are indeed other examples of ordered fields beyond real numbers and rational numbers. Participants are encouraged to refer to the Wikipedia page on ordered fields for a comprehensive list of examples. This resource provides a definitive overview of various ordered fields available in mathematical literature.

PREREQUISITES
  • Understanding of field theory in mathematics
  • Familiarity with real numbers and rational numbers
  • Basic knowledge of mathematical ordering concepts
  • Access to resources like Wikipedia for further reading
NEXT STEPS
  • Research the properties of ordered fields in advanced mathematics
  • Explore the Wikipedia page on ordered fields for specific examples
  • Study the implications of ordered fields in algebraic structures
  • Investigate the relationship between ordered fields and topology
USEFUL FOR

Mathematicians, students of abstract algebra, and anyone interested in the properties and applications of ordered fields in mathematical theory.

ashok vardhan
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sir , my doubt is that are than any ordered fields other than Real numbers,rational numbers,integers...
 
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