On the utility of Robinson-Amitsur ultrafilters

JOURNAL OF ALGEBRA

卷:388

Article

Zusmanovich, Pasha

关键词: Ultraproduct;    Direct product;    Ideal-determined class;    Finite subdirect irreducibility;    Variety of algebras;    PI algebras;    Algebras with the same identities;    Tarski's monsters;   

DOI  :  10.1016/j.jalgebra.2013.04.024

来源: Elsevier

【 摘 要 】

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. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free