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Nilpotency of the associators in a free \((-1,1)\)-ring - MaRDI portal

Nilpotency of the associators in a free \((-1,1)\)-ring (Q1217193)

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scientific article; zbMATH DE number 3477377
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Nilpotency of the associators in a free \((-1,1)\)-ring
scientific article; zbMATH DE number 3477377

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    Nilpotency of the associators in a free \((-1,1)\)-ring (English)
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    1975
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    The following theorem has been proved: let \(\Phi\) be an associative-commutative ring with an element \(\frac 16\), then in a free \(\Phi\)-operator \((-1,1)\)-ring the identity \((x,y,z)^4=0\) is valid.
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