Litcius/Paper detail

Central nilpotency of skew braces

Marco Bonatto, Přemysl Jedlička

2022Journal of Algebra and Its Applications12 citationsDOI

Abstract

Skew braces are algebraic structures related to the solutions of the set-theoretic quantum Yang–Baxter equation. We develop the central nilpotency theory for such algebraic structures in the sense of Freese–McKenzie [12] and we compare the universal algebraic notion of central nilpotency with the notion of right and left nilpotency developed in [7].

Topics & Concepts

MathematicsSkewPure mathematicsAlgebraic numberNilpotentSet (abstract data type)Discrete mathematicsMathematical analysisComputer scienceProgramming languageTelecommunicationsAlgebraic structures and combinatorial modelsAdvanced Topics in AlgebraHomotopy and Cohomology in Algebraic Topology