Wykaz obszarów badawczych:
| Obszar badawczy | Dziedzina naukowa |
There is a one-to-one correspondence between nondegenerate set theoretical solutions of the Yang-Baxter equation and algebraic structures called biracks. On the other hand, biracks play an important role in knot theory. Biracks are algebras which have a structure of two one-sided quasigroups and satisfy some additional identities. So far, very little is known about such structures. The aim of the research will be to find new examples and constructions of biracks and to describe their algebraic characterization.
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Mathematics |
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