Geodesic
On Rings Asymptotically Close to Associative Rings
Matematičeskie trudy, Tome 10 (2007) no. 1, pp. 29-96

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The subject of this work is an extension of A. R. Kemer's results to a rather broad class of rings close to associative rings, over a field of characteristic 0 (in particular, this class includes the varieties generated by finite-dimensional alternative and Jordan rings). We prove the finite-basedness of systems of identities (the Specht property), the representability of finitely-generated relatively free algebras, and the rationality of their Hilbert series. For this purpose, we extend the Razymslov-Zubrilin theory to Kemer polynomials. For a rather broad class of varieties, we prove Shirshov's theorem on height. 
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     author = {A. Ya. Belov},
     title = {On {Rings} {Asymptotically} {Close} to {Associative} {Rings}},
     journal = {Matemati\v{c}eskie trudy},
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     number = {1},
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     url = {http://geodesic.mathdoc.fr/item/MT_2007_10_1_a2/}
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A. Ya. Belov. On Rings Asymptotically Close to Associative Rings. Matematičeskie trudy, Tome 10 (2007) no. 1, pp. 29-96. http://geodesic.mathdoc.fr/item/MT_2007_10_1_a2/