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- W4287704654 abstract "Let $R$ be an associative algebra over a field $K$ generated by a vector subspace $V$. The polynomial $f(x_1,ldots,x_n)$ of the free associative algebra $Klangle x_1,x_2,ldotsrangle$ is a weak polynomial identity for the pair $(R,V)$ if it vanishes in $R$ when evaluated on $V$. We survey results on weak polynomial identities and on their applications to polynomial identities and central polynomials of associative and close to them nonassociative algebras and on the finite basis problem. We also present results on weak polynomial identities of degree three." @default.
- W4287704654 created "2022-07-26" @default.
- W4287704654 creator A5090455653 @default.
- W4287704654 date "2020-07-27" @default.
- W4287704654 modified "2023-09-27" @default.
- W4287704654 title "Weak polynomial identities and their applications" @default.
- W4287704654 doi "https://doi.org/10.48550/arxiv.2007.13634" @default.
- W4287704654 hasPublicationYear "2020" @default.
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