témavezető: Nagy Attila
helyszín (magyar oldal): Department of Algebra, Institute of Mathematics, BME helyszín rövidítés: BME
A kutatási téma leírása:
The task of the PhD student is to study the algebraic theory of semigroups and try to solve problems in this fields. The following two topics are in the center:
Congruence permutable semigroups: A semigroup S is said to be congruence permutable if αoβ=βoα is satisfied for every congruences α and β of S, where o denotes the usual composition of binary relations. The object is to determine congruence permutable semigroups in special classes of semigroups.
By the Birkhoff’s theorem, every semigroup is a subdirect product of subdirectly irreducible semigroups. Thus it is an interesting problem to find subdirectly irreducible semigroups. The object is to determine subdirectly irreducible semigroups in special classes of semigroups.
The student have to publish his results in high quality journals.
előírt nyelvtudás: English további elvárások: MSc degree in Mathematics
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