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Marked varieties of algebras. (Russian) Zbl 0728.16009

Let F be a countable field. The author considers not necessarily associative algebras over F. He constructs a countably generated locally finite dimensional algebra A such that every countably generated locally finite dimensional F-algebra is a homomorphic image of A. The same construction works in any variety of F-algebras.

MSC:

16R10 \(T\)-ideals, identities, varieties of associative rings and algebras
16P10 Finite rings and finite-dimensional associative algebras
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