On rings asymptotically close to associative rings

What is it about?

This paper is devoted to the extension of A. R. Kemer's results to a sufficiently large class of rings close to associative ones, over a field of characteristic zero (in particular, the varieties generated by finite alternative and Jordan rings are included in this class). In this case, the author proves the finiteness of the basis of identities (the Specht property), the representability of finitely generated ones with respect to free algebras and the rationality of their Hilbert series. For this purpose, the author extends the theory of Razmyslov-Zubrin to Kemer polynomials. For a wide class of varieties, Shirshov's theorem on height is established. Reviewed by Bakhrom A. Omirov

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