POLÁK, Libor. Unification in varieties of completely simple semigroups. In Dorninger, D. (ed.) et al., Contributions to general algebra 12. Klagenfurt: Verlag Johannes Heyn, 2000, p. 337-347. ISBN 3-85366-951-4.
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Basic information
Original name Unification in varieties of completely simple semigroups
Authors POLÁK, Libor (203 Czech Republic, guarantor).
Edition Klagenfurt, Dorninger, D. (ed.) et al., Contributions to general algebra 12, p. 337-347, 2000.
Publisher Verlag Johannes Heyn
Other information
Original language English
Type of outcome Proceedings paper
Field of Study 10101 Pure mathematics
Country of publisher Austria
Confidentiality degree is not subject to a state or trade secret
RIV identification code RIV/00216224:14310/00:00002957
Organization unit Faculty of Science
ISBN 3-85366-951-4
Keywords in English unification; completely simple semigroups
Tags completely simple semigroups, unification
Changed by Changed by: doc. RNDr. Libor Polák, CSc., učo 107. Changed: 27/6/2008 20:43.
Abstract
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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MSM 143100009, plan (intention)Name: Matematické struktury algebry a geometrie
Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures of algebra and geometry
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