Geodesic
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

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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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     author = {S. K. Vasiliev},
     title = {On identities and varieties of associative algebras of finite type},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     volume = {305},
     year = {2003},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_305_a1/}
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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/