Skip to main content
SpringerLink
Log in

Representing endomorphisms and principal congruences

  • Published:
algebra universalis Aims and scope Submit manuscript

Abstract

For every algebraU there is an algebraU * with (up to isomorphism) the same endomorphism, subalgebra and congruence structure as that ofU, for which every finitely generated subalgebra and every finitely generated congruence ofU * is singly generated. The theorem is proved in a somewhat more general category theoretic context.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Grätzer, G.,Universal Algebra,second edition, Springer-Verlag, New York, Heidelberg, Berlin, 1979.

    Google Scholar 

  2. Sauer, N. andStone, M. G.,Foliations and applications of structure problems, Acta Math. Hung.53 (1989), 43–54.

    Google Scholar 

  3. Sauer, N. andStone, M. G.,Endomorphism and subalgebra structure of algebras, Acta Sci. Math.38 (1977), 311–315.

    Google Scholar 

  4. Pultr, A. andTrnkova, V.,Combinatorial Algebraic and Topological Representations of Groups,Semigroups and Categories, North-Holland, 1980.

Download references

Author information

Authors and Affiliations

  1. Elte TTK Algebra, H-1088, Budapest, Hungary

    E. Fried

  2. Department of Mathematics and Statistics, University of Calgary, T2N 1N4, Calgary, Alberta, Canada

    M. G. Stone

Authors
  1. E. Fried
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. G. Stone
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This author's research was supported by an OTKA grant from Hungary.

This author's research was supported by NSERC, The Natural Sciences and Engineering Research Council of Canada.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fried, E., Stone, M.G. Representing endomorphisms and principal congruences. Algebra Universalis 36, 523–527 (1996). https://doi.org/10.1007/BF01233922

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01233922

Keywords

Search

Navigation