On the utility of Robinson-Amitsur ultrafilters
Pasha Zusmanovich
TL;DR
This paper presents an embedding theorem for algebraic systems using ultrafilters, offering alternative proofs for PI algebra results and exploring properties of Tarski's monsters.
Contribution
It introduces a novel ultrafilter-based embedding theorem and applies it to provide new proofs and insights in algebraic structures.
Findings
New embedding theorem for algebraic systems
Alternative proofs for results in PI algebra theory
Properties of Tarski's monsters established
Abstract
An embedding theorem for algebraic systems is 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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