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Wykaz obszarów badawczych związanych z tagiem Kraty-domkniec:

# Obszar badawczy Dziedzina naukowa
1 My scientific interests include universal algebra and lattice theory, with special focus on their applications in other areas of mathematics, for example: - ordered structures, e.g. algebras with semi-lattice operation, power algebras, algebras of subalgebras, as well as convex subsets for partially ordered sets of various types; - algebraic structures related to geometry, knot theory, and set-theoretical solutions to the Yang-Baxter equation, such as quandles, racks or biracks, and in a wider context: one-sided quasigroups; - barycentric algebras (algebraization of real convex sets) and their applications, e.g. in the modelling of complex systems; - closure lattices (lattices of subclasses, convexity lattices, congruence lattices etc.) and their complexity; - classes of structures defined by identities and quasi-identities.