On identities of an \(n\)-ary group. (Q2805937)

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scientific article; zbMATH DE number 6580470
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On identities of an \(n\)-ary group.
scientific article; zbMATH DE number 6580470

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    13 May 2016
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    \(n\)-ary groups
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    identities
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    neutral element
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    derived operations
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    On identities of an \(n\)-ary group. (English)
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    It is very chaotic overview of results for \(n\)-ary groups with a neutral element. It is well known that an \(n\)-ary group \((G,f)\) with a neutral element (identity) has the form \(f(x_1,x_2,\ldots,x_n)=x_1x_2\cdots x_n\), where \((G,\cdot)\) is an ordinary group. Thus, the properties of \((G,f)\) are a trivial consequence of the properties of \((G,\cdot)\).NEWLINENEWLINE This overview contains a lot of typographical errors and wrong terminology. The bibliography is limited mainly to the author's earlier works published in the local Belarusian journals not indexed by Zentralblatt.
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