On identities and varieties of associative algebras of finite type
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 10, Tome 305 (2003), pp. 18-43 Cet article a éte moissonné depuis la source Math-Net.Ru

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Varieties, where each finitely generated relatively free algebra is finitely defined, are considered. Description of such varieties with identities is obtained and a number of their structural properties is found.
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S. K. Vasiliev. On identities and varieties of associative algebras of finite type. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 10, Tome 305 (2003), pp. 18-43. http://geodesic.mathdoc.fr/item/ZNSL_2003_305_a1/

[1] V. T. Markov, “O sistemakh obrazuyuschikh T-idealov konechno-porozhdennykh svobodnykh algebr”, Algebra i Logika, 18:5 (1979), 587–598 | MR | Zbl

[2] S. I. Kublanovskii, “O mnogoobraziyakh assotsiativnykh algebr, s lokalnymi usloviyami konechnosti”, Algebra i Logika, 9:4 (1997), 119–174 | MR | Zbl

[3] O. G. Kharlampovich, M. V. Sapir, “Algorithmic problems in varieties”, Internat. J. Algebra Comput., 5:4–5 (1995), 379–602 | DOI | MR | Zbl

[4] I. Kherstein, Nekommutativnye koltsa, Mir, M., 1972 | MR

[5] N. Dzhekobson, Stroenie kolets, IL., M., 1961

[6] S. I. Kublanovskii, Lokalno finitno approksimiruemye i lokalno predstavimye mnogoobraziya assotsiativnykh kolets i algebr, Rukopis dep. v VINITI No 6143-82, Leningr. gos. ped. in-t., L., 1982

[7] N. Burbaki, Mnogochleny i polya; uporyadochennye gruppy, Nauka, M., 1966 | MR