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Semifields and skew polynomial rings
 Liška, Jakub ; Göloglu, Faruk (advisor) ; Pavlů, Jiří (referee)
In this thesis we give constructions of semifields, often characterized as not necessarily associative division algebras, from skew polynomial rings which are rings of polynomials over a field where multiplication is not commutative. These constructions are crucial for their use as maximum rank-distance codes, a family of self-correcting codes with a rank distance metric. We explore various connections between these structures through isotopy, isomorphy and equality. We also make the effort to prove as much of the fun- damental theory as possible since it is often regarded as obvious by the experts of the field. 1
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