Miroslav Korbelar: "On simple semirings and related problems"
Sprache des Titels:
Semirings are a generalization of rings, where the subtraction is not available. They appear naturally in many branches of mathematics and informatics. In cryptograhy, simple semiring were suggested as suitable candidates for so called post-quantum cryptography, i.e. for protocols that might withstand attacks where the quantum computing is used. Structure of simple semirings is not understood so far, even for finite cases. In the talk I present results on the structure of simple semirings and on related problems concerning finitely generated semirings.