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Congruences of a Permutable Inverse Semigroup of Finite Rank

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Abstract

We describe the structure of any congruence of a permutable inverse semigroup of finite rank.

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REFERENCES

  1. V. D. Derech, “On permutable congruences on antigroups of finite rank,” Ukr. Mat. Zh., 56, No.3, 346–351 (2004).

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  2. A. H. Clifford and G. B. Preston, The Algebraic Theory of Semigroups, Vol. 1, American Mathematical Society, Providence, RI (1964).

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  3. M. Petrich, Inverse Semigroups, Wiley, New York (1984).

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  4. H. Hamilton, “Permutability of congruences on commutative semigroups,” Semigroup Forum, 10, No.1, 55–66 (1975).

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Authors and Affiliations

  1. Vinnytsya National Technical University, Vinnytsya, Ukraine

    V. D. Derech

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  1. V. D. Derech
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 4, pp. 469–473, April, 2005.

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Derech, V.D. Congruences of a Permutable Inverse Semigroup of Finite Rank. Ukr Math J 57, 565–570 (2005). https://doi.org/10.1007/s11253-005-0210-y

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  • DOI: https://doi.org/10.1007/s11253-005-0210-y

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