On the utility of Robinson-Amitsur ultrafilters

Mathematics – Rings and Algebras

Scientific paper

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16 pages; v3: substantially rewritten; the main theorem formulated in the language of universal algebra; proofs of some lemmat

Scientific paper

Two similar embedding theorems for algebras and groups are presented, basing
on a certain old ultrafilter construction. As an application, we outline
alternative proofs of some results from the theory of PI algebras, and
establish some properties of Tarski's monsters.

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