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- W2969077246 abstract "We study commutative algebras satisfying the identity [Formula: see text] It is known that for [Formula: see text] and for characteristic not [Formula: see text] or [Formula: see text], the algebra is a commutative power-associative algebra. These algebras have been widely studied by Albert, Gerstenhaber and Schafer. For [Formula: see text] Guzzo and Behn in 2014 proved that commutative algebras of dimension [Formula: see text] satisfying [Formula: see text] are solvable. We consider the remaining values of [Formula: see text] We prove that commutative algebras satisfying [Formula: see text] with [Formula: see text] and generated by one element are nilpotent of nilindex [Formula: see text] (we assume characteristic of the field [Formula: see text])." @default.
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- W2969077246 date "2019-10-24" @default.
- W2969077246 modified "2023-09-23" @default.
- W2969077246 title "Commutative non-power-associative algebras" @default.
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- W2969077246 doi "https://doi.org/10.1142/s0218196719500619" @default.
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