algebra universalis

, Volume 14, Issue 1, pp 36–43 | Cite as

Simple algebras in varieties

  • W. A. Lampe
  • W. Taylor


Symmetric Group Maximal Subgroup Permutation Group Simple Algebra Unary Algebra 
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  1. [1]
    P. D. Bacsich,Cofinal simplicity and algebraic closedness, Algebra Universalis2 (1972), 354–360.zbMATHMathSciNetGoogle Scholar
  2. [2]
    S. Comer andJ. Johnson,Report on unary algebras, ms., Berkeley, 1967.Google Scholar
  3. [3]
    G. Grätzer andJ. Sichler,Agassiz sum of algebras, Colloq. Math.30 (1974), 57–59.zbMATHMathSciNetGoogle Scholar
  4. [4]
    D. Higgs,Remarks on residually small varieties, Algebra Universalis1 (1971), 383–385.MathSciNetGoogle Scholar
  5. [5]
    R. Magari,Una dimostrazione del fatto che ogni varietà ammette algebre semplici, Ann. Univ. Ferrara (7)14 (1969), 1–4.zbMATHMathSciNetGoogle Scholar
  6. [6]
    R. McKenzie andS. Shelah,The cardinals of simple models for universal theories, 53–74 in: Proc. Tarski Symposium (1971)-vol. 25 of Symposia in Pure Math., A.M.S., Providence, 1974.Google Scholar
  7. [7]
    B. Mortimer,Permutation groups containing affine groups of the same degree, J. London Math. Soc. (2)15 (1977), 445–455.zbMATHMathSciNetGoogle Scholar
  8. [8]
    H. Neumann,Varieties of Groups, Springer-Verlag, Berlin, 1967.zbMATHGoogle Scholar
  9. [9]
    P. E. Schupp,Varieties and algebraically closed algebras, Algebra Universalis (to appear).Google Scholar
  10. [10]
    C. Shallon,Non-finitely based binary algebras derived from lattices, Ph.D. Thesis, UCLA, 1979.Google Scholar
  11. [11]
    W. Taylor,Residually small varieties, Algebra Universalis2 (1972), 33–53.zbMATHMathSciNetCrossRefGoogle Scholar
  12. [12]
    W. Taylor,Subdirectly irreducible algebras in regular, permutable varieties, Proc. A.M.S.75 (1979), 196–200.zbMATHCrossRefGoogle Scholar

Copyright information

© Birkhäuser Verlag 1982

Authors and Affiliations

  • W. A. Lampe
    • 1
    • 2
  • W. Taylor
    • 1
    • 2
  1. 1.University of HawaiiHonoluluUSA
  2. 2.University of ColoradoBoulderUSA

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