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On the divisibility problem for one-relator monoids

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References

  1. S. I. Adian,Relators and algorithmic problems for groups and semigroups, Trudy MIAN.85 (1966), 1–124.

    Google Scholar 

  2. S. I. Adian,On the word transformations in a semigroup given by a system of relators, Algebra i Logica.15 (1976), 611–621.

    Google Scholar 

  3. S. I. Adian and G. V. Oganesian,Concerning the equality and divisibility problems in one-relator semigroups, Izv. Akad. Nauk SSSR. Ser. Mat.42 (1978), 219–225.

    Google Scholar 

  4. S. I. Adian and G. V. Oganesian,On the equality and divisibility problems for one-relator semigroups, Mat. Zametki.41 (1987), 412–421.

    Google Scholar 

  5. J. Howie and S. Pride,The word problem for one-relator semigroups, Math. Proc. of the Cambridge Phil. Soc.99, 33–44.

  6. G. U. Oganesian,On one-relator semigroups and semigroups without cycles 46 (1982), 88–94.

    Google Scholar 

  7. O. A. Sarkisian,On identity and divisibility problems in semigroups and groups without cycles, Izv. Akad. Nauk SSSR. Ser. Mat.45 (1981), 1424–1441.

    Google Scholar 

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This work was supported by the Russian Foundation for Fundamental Research (Under Grant No. 93-011-16015).

Translated from Matematicheskie Zametki, Vol. 55, No. 1, pp. 3–9, January, 1994.

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Adian, S.I. On the divisibility problem for one-relator monoids. Math Notes 55, 3–7 (1994). https://doi.org/10.1007/BF02110757

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  • DOI: https://doi.org/10.1007/BF02110757

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