New operated polynomial identities and Gröbner-Shirshov bases

Published 6 Mar 2022 in math.RA | (2203.02851v1)

Abstract: Quite recently, Bremner et al. introduced a new approach to Rota's Classification Problem and classified some (new) operated polynomial identities. In this paper, we prove that all operated polynomial identities classified by Bremner et al. are Gr\"{o}bner-Shirshov.

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