## 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
Full Text: