Skip to main content
Log in

Characterizing categories of algebras

  • Published:
algebra universalis Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  • Hatcher, W. S. [1] “Quasiprimitive subcategories,”Mathematische Annalen, Vol.190 (1970), pp. 93–96.

    Google Scholar 

  • Hatcher, W. S. andWhitney, S. [1]Absolute Algebra, Teubner-Texte zur Mathematik, Teubner, Leipzig, 1978.

    Google Scholar 

  • Herrlich, H. andStrecker, G. E. [1]Category Theory, Allyn and Bacon, Boston, 1973.

    Google Scholar 

  • Isbell, J. R. [1] “Subobjects, adequacy, completeness and categories of algebras,”Rozprawy Matematiyczne, Vol.36 (1964), pp. 3–33.

    Google Scholar 

  • Lawvere, F. W. [1] “Functorial semantics of algebraic theories, ”Proc. Nat. Acad. Sci. U.S.A., Vol.50 (1963), pp. 869–872.

    Google Scholar 

  • Linton, F. E. J. [1] “Some aspects of equational categories,”Proceedings of the Conference on Categorical Algebra, La Jolla, 1965, Springer-Verlag, New York, 1966, pp. 84–94.

    Google Scholar 

  • MacLane, S. [1]Categories for the Working Mathematician, Springer-Verlag, New York, 1971.

    Google Scholar 

  • Manes, E. G. [1]A Triple Miscellany: Some Aspects of the Theory of Algebras over a Triple, Doctoral Thesis, Wesleyan University, 1967.

  • Manes, E. G. [2]Algebraic Theories, Springer-Verlag, New York, 1976.

    Google Scholar 

  • Mitchell, B. [1]Theory of Categories, Academic Press, New York, 1965.

    Google Scholar 

  • Pareigis, B. [1]Categories and Functors, Academic Press, New York, 1970.

    Google Scholar 

  • Schubert, H. [1]Categories, Springer-Verlag, New York, 1972.

    Google Scholar 

  • Whitney, S. [1]Théories Linéaires, Doctoral Thesis, Universié Laval, 1977.

  • Whitney, S. andHatcher, W. S. [1] “Characterising categories of algebras,”Abstracts of the A.M.S., Vol. 2, No. 2 (February 1981), p. 271.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The first author gratefully acknowledges a postdoctoral scholarship from the National Sciences and Engineering Research Council of Canada.

The research of the second author has been partially supported by a grant from the National Sciences and Engineering Research Council of Canada.

The authors would like to express their thanks to the referee for a number of helpful suggestions.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Whitney, S., Hatcher, W.S. Characterizing categories of algebras. Algebra Universalis 19, 231–242 (1984). https://doi.org/10.1007/BF01190432

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01190432

Navigation