10.2478/cm-2021-0022
https://cm.episciences.org/9541
Drensky, Vesselin
Vesselin
Drensky
Weak polynomial identities and their applications
Let R be an associative algebra over a field K generated by a vector subspace V. The polynomial f(x 1, . . . , xn ) of the free associative algebra K〈x 1, x 2, . . .〉 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.
episciences.org
General Mathematics
[MATH]Mathematics [math]
https://creativecommons.org/licenses/by-nc-n
2022-12-01
2021-07-15
2021-07-15
en
journal article
https://hal.archives-ouvertes.fr/hal-03665023v1
2336-1298
https://cm.episciences.org/9541/pdf
VoR
application/pdf
Communications in Mathematics
Volume 29 (2021), Issue 2 (Special Issue: 3rd International Workshop on Nonassociative Algebras in Málaga)
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