algebra universalis

, Volume 5, Issue 1, pp 367–378 | Cite as

Some functorial aspects of atomic compactness

  • Evelyn Nelson
Article

Keywords

Atomic Compactness Full Subcategory Unary Operation Algebra UNIV Continuum Hypothesis 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    B. Banaschewski and H. Herrlich,Subcategories defined by Implication. Manuscript (McMaster) 1975.Google Scholar
  2. [2]
    B. Banaschewski and Evelyn Nelson,Equational compactness in equational classes of algebras, Alg. Univ.2 (1972), 152–165.MATHMathSciNetGoogle Scholar
  3. [3]
    S. Bulman-Fleming and W. Taylor,On a question of G. H. Wenzel, Alg. Univ.2 (1972), 142–145.MATHMathSciNetGoogle Scholar
  4. [4]
    G. Grätzer,Universal Algebra, Van Nostrand, 1968.Google Scholar
  5. [5]
    Zdenek Hedrlin and Joachim Lambek,How comprehensive is the category of semigroups? J. Alg.11 (1969), 195–212.MATHMathSciNetCrossRefGoogle Scholar
  6. [6]
    Z. Hedrlin and A. Pultr,On full embeddings into categories of algebras, Ill. J. Math.10 (1966), 392–405.MATHMathSciNetGoogle Scholar
  7. [7]
    Bjarni Jónsson,Some Topics in Universal Algebra, Springer 1972.Google Scholar
  8. [8]
    Barry Mitchell,Theory of Categories, Academic Press.Google Scholar
  9. [9]
    Evelyn Nelson,Infinitary equational compactness, Alg. Univ.4 (1974), 1–13.MATHGoogle Scholar
  10. [10]
    Evelyn Nelson,On the adjointness between operations and relations, Colloquium Mathematicum (to appear).Google Scholar
  11. [11]
    W. Taylor,Some constructions of compact algebras, Ann. Math. Logic3 (1972), 395–436.CrossRefGoogle Scholar
  12. [12]
    Walter Taylor,A note on pure-essential extensions, Alg. Univ.2 (1972), 234–237.MATHCrossRefGoogle Scholar
  13. [13]
    Walter Taylor,Atomic compactness and graph theory, Fund. Math.65 (1966), 139–145.Google Scholar
  14. [14]
    Walter Taylor,Pure-irreducible mono-unary algebras, Alg. Univ.4 (1974), 235–243.MATHGoogle Scholar
  15. [15]
    Patricia Verney,Atomic compactness in quasi-primitive classes of structures, M.Sc. Thesis, McMaster, April, 1974.Google Scholar
  16. [16]
    P. Vopenka, A. Pultr, and Z. Hedrlin,A rigid relation exists on any set, Comm. Math. Univ. Carolina6 (1965), 149–155.MATHMathSciNetGoogle Scholar
  17. [17]
    B. Węglorz,Equationally compact algebras I, Fund. Math.59 (1966), 289–298.MathSciNetMATHGoogle Scholar
  18. [18]
    G. Wenzel,Subdirect irreducibity and equational compactness in unary algebras <A, f>, Arch. Math. (Basel)21 (1970), 256–264.MATHMathSciNetGoogle Scholar

Copyright information

© Birkhäuser Verlag 1975

Authors and Affiliations

  • Evelyn Nelson
    • 1
  1. 1.McMaster UniversityHamiltonCanada

Personalised recommendations