Article

A simple solution of the ADS-problem

Published in: Quaestiones Mathematicae
Volume 43 , issue 2 , 2020 , pages: 243–250

DOI: 10.2989/16073606.2019.1572665

Author(s): Ryszard R. Andruszkiewicz Institute of Mathematics, University of Bia-lystok, Poland , Małgorzata E. Hryniewicka Institute of Mathematics, University of Białystok, Poland , Karol Pryszczepko Institute of Mathematics, University of Białystok, Poland

Keywords: 16D25 , 16N80 , 16P70 , 16D25 , 16N80 , 16P70

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Abstract

The main aim of this note is to give a new and elementary proof of the Beidar theorem, which asserts that for every positive integer n there exists a homomorphically closed class of rings with the Kurosh chain terminating precisely at the n-th step.

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