On identities and varieties of associative algebras of finite type. (English. Russian original) Zbl 1144.16309

J. Math. Sci., New York 130, No. 3, 4651-4664 (2005); translation from Zap. Nauchn. Semin. POMI 305, 18-43 (2003).
Summary: Varieties in which each finitely generated relatively free algebra is finitely presented are considered. A description of such varieties with identities is obtained, and a number of their structural properties are found.


16R10 \(T\)-ideals, identities, varieties of associative rings and algebras
16S10 Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.)
08B20 Free algebras
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