Unification in varieties of completely simple semigroups

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.

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

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Other information

Language

English

Type of outcome

Stať ve sborníku

Field of Study

10101 Pure mathematics

Country of publisher

Austria

Confidentiality degree

není předmětem státního či obchodního tajemství

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

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Abstract

V originále

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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Links

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