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Skew left braces with non-trivial annihilator. (English) Zbl 1447.16035

Summary: We describe the class of all skew left braces with non-trivial annihilator through ideal extension of a skew left brace. The ideal extension of skew left braces is a generalization to the non-abelian case of the extension of left braces provided by D. Bachiller in [J. Pure Appl. Algebra 222, No. 7, 1670–1691 (2018; Zbl 1437.20031)].

MSC:

16T25 Yang-Baxter equations
16N20 Jacobson radical, quasimultiplication
81R50 Quantum groups and related algebraic methods applied to problems in quantum theory
20B15 Primitive groups

Citations:

Zbl 1437.20031
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References:

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