Thesis supervisor: Attila Nagy
Location of studies (in Hungarian): Department of Algebra, Institute of Mathematics, BME Abbreviation of location of studies: BME
Description of the research topic:
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.
Required language skills: English Further requirements: MSc degree in Mathematics
Number of students who can be accepted: 1
Deadline for application: 2017-05-31
2024. IV. 17. ODT ülés Az ODT következő ülésére 2024. június 14-én, pénteken 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).
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