Skip to main content
Log in

Identities in full transformation semigroups

  • 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

  1. Bergman, G. M.,Hyperidentities of groups and semigroups, Aequat. Math.23 (1981), 50–65.

    Google Scholar 

  2. Clifford, A. H. andPreston, G. B.,The algebraic theory of semigroups, Vol. 1, Math. Surveys 7, AMS (Providence 1961).

    Google Scholar 

  3. Denecke, K. andPöschel, R.,The characterization of primal algebra by hyperidentities, Contributions to General Algebra6, Wien (1988), 67–87.

    Google Scholar 

  4. Falk, J.,Pöschel, R.,Sauer, N. andStone, M. G.,A normal form for words in the free semigroup over H n . Manuscript 1989.

  5. Herstein, I. N.,Noncommutative rings, MAA (Washington, 1968).

    Google Scholar 

  6. Hyndman, J.,McKenzie, R.,Taylor, W.,K-ary monoids of term operations. Preprint, July'89.

  7. Neumann, H.,Varieties of groups, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 37, Springer (Berlin-N.Y., 1967).

    Google Scholar 

  8. Sapir, M. V.,Problems of Burnside type and the finite basis property in varieties of semigroups, Izv. AN SSSR, Ser. Matem.51 (1987), 319–340 (Russian); Engl. Translation: Math. USSR Izvestiya30 (1988), 295–314.

    Google Scholar 

  9. Sauer, N., Stone, M. G.,Composing functions to reduce image size, Ars Combinatoria31 (1991), 171–176.

    Google Scholar 

  10. Shevrin, L. N., Volkov, M. V.,Identities of semigroups, Izv. VUZ. Matematika (1985), no. 11, 3–47 (Russian); Engl. Translation: Soviet Math. Iz. Vuz.29 (1985), no. 11, 1–64.

    Google Scholar 

  11. Simel'gor, E. P.,Identities in a finite symmetric semigroup, Contemporary Algebra, Leningrad1 (1974), 174–188 (Russian).

    Google Scholar 

  12. Simel'gor, E. P.,On identities of four-element semigroups, Modern Algebra (Leningrad),1978, pp. 146–152 (Russian).

  13. Volkov, M. V.,The finite basis question for varieties of semigroups, Mat. Zametki45 (1989), No. 3, 12–23 (Russian); Engl. Translation: Math. Notes45 (1989), 187–194.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Both of these authors gratefully acknowledge the National Science and Engineering Research Council of Canada who supported this research.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pöschel, R., Sapir, M.V., Sauer, N.W. et al. Identities in full transformation semigroups. Algebra Universalis 31, 580–588 (1994). https://doi.org/10.1007/BF01236507

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01236507

Keywords

Navigation