algebra universalis

, Volume 5, Issue 1, pp 39–44 | Cite as

Idempotents in fully ordered rings

  • Daniel Farkas


Local Ring Regular Semigroup Division Ring Nilpotent Element Orderable Group 


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  1. [1]
    A. H. Clifford and G.B. Preston,The algebraic theory of semigroups, Vol. 1, Amer. Math. Soc. Math. Surveys7 (1961).Google Scholar
  2. [2]
    L. Fuchs.Partially ordered algebraic systems, Pergamon (1963).Google Scholar
  3. [3]
    N. Jacobson,Structure of rings, Amer. Math. Soc. Colloq. Publ.37 (1964).Google Scholar
  4. [4]
    M. Yamada,A note on middle unitary semigroups, Kodai Math. Sem. Rep.7 (1955), 49–52.MATHMathSciNetGoogle Scholar

Copyright information

© Birkhäuser Verlag 1975

Authors and Affiliations

  • Daniel Farkas
    • 1
  1. 1.Brandeis UniversityWalthamUSA

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