algebra universalis

, Volume 4, Issue 1, pp 235–243 | Cite as

Pure-irreducible mono-unary algebras

  • Walter Taylor
Article

Keywords

Irreducible Algebra Equational Compactness Pure Extension Compact Algebra Connected Algebra 
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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References

  1. [1]
    B. Banaschewski,Equational compactness of G-sets, Canad. Math. Bull. (to appear).Google Scholar
  2. [2]
    B. Banaschewski and E. Nelson,Equational compactness in equational classes of algebras Algebra Universalis2 (1972), 152–165.MATHMathSciNetGoogle Scholar
  3. [3]
    S. Bulman-Fleming,On equationally compact semilattices, Algebra Universalis2 (1972), 146–151.MATHMathSciNetGoogle Scholar
  4. [4]
    A. Ehrenfeucht,Decidability of the theory of one function (abstract), Notices Amer. Math. Soc.6 (1959), 268.Google Scholar
  5. [5]
    M. Katětov,A theorem on mappings, Comment. Math. Univ. Carolinae,8 (1967), 431–433.MathSciNetMATHGoogle Scholar
  6. [6]
    H. Kenyon, et al.,Partition of a domain—solution to Advanced Problem #5077, Amer. Math. Monthly71 (1964), 219.MathSciNetCrossRefGoogle Scholar
  7. [7]
    J. Mycielski,Some compactifications of general algebras, Colloq. Math.13 (1964), 1–9.MATHMathSciNetGoogle Scholar
  8. [8]
    K. Numakura,Theorems on compact totally disconnected semigroups and lattices, Proc. Amer. Math. Soc.8 (1957), 623–626.MATHMathSciNetCrossRefGoogle Scholar
  9. [9]
    L. Pacholski and B. Węglorz,Topologically compact structures and positive formulas, Colloq. Math.19 (1968), 37–42.MATHMathSciNetGoogle Scholar
  10. [10]
    M. O. Rabin,Decidability of second-order theories and automata on infinite trees, Trans. Amer. Math. Soc.141 (1969), 1–35.MATHMathSciNetCrossRefGoogle Scholar
  11. [11]
    R. A. Simons,The Boolean algebra of sentences of the theory of a function, Ph.D. Thesis, Berkeley, 1971.Google Scholar
  12. [12]
    W. Taylor,Atomic compactness and elementary equivalence, Fund. Math.71 (1971), 103–112.MATHMathSciNetGoogle Scholar
  13. [13]
    W. Taylor,Some constructions of compact algebras, Ann. Math. Logic3 (1971), 395–435.MATHMathSciNetCrossRefGoogle Scholar
  14. [14]
    W. Taylor,Residually small varieties, Algebra Universalis2 (1972), 33–53.MATHMathSciNetCrossRefGoogle Scholar
  15. [15]
    G. H. Wenzel,Subdirect irreducibility and equational compactness in unary algebras <A; f>, Arch. Math. (Basel),21 (1970), 256–264.MATHMathSciNetGoogle Scholar

Copyright information

© Birkhäuser Verlag 1974

Authors and Affiliations

  • Walter Taylor
    • 1
  1. 1.University of ColoradoBoulderUSA

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