Unification in varieties of completely simple semigroups

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Authors

POLÁK Libor

Year of publication 2000
Type Article in Proceedings
Conference Dorninger, D. (ed.) et al., Contributions to general algebra 12
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords unification; completely simple semigroups
Description We consider solvability of equations with constants in varieties VCS of all completely simple semigroups with subgroups in a given variety V of groups. An equation in n variables and m constants is solvable in VCS if and only if some of a certain system of m^{2n} equations is solvable in V. Moreover we discuss the structure of the sets of all solutions.
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