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On the right automorphic generalised Bol loops - MaRDI portal

On the right automorphic generalised Bol loops (Q6587032)

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scientific article; zbMATH DE number 7896476
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English
On the right automorphic generalised Bol loops
scientific article; zbMATH DE number 7896476

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    On the right automorphic generalised Bol loops (English)
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    13 August 2024
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    There are many examples of identities which imply that a Bol loop is Moufang, see for example [\textit{O. Chein} et al., Algebra Colloq. 19, 927--946 (2012; Zbl 1298.20076)]. The authors of the paper focus their attention on so-called \textit{right automorphic generalized Bol loops} satisfying some additional ``inverse'' identities. They show that such algebras are generalised Moufang loops.
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    generalized Bol loops
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    generalized Moufang loop
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    right translation map
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    inner mapping
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