Research ArticleNo Access

The classification of non-commutative torsion-free rings of rank two

Ryszard R. Andruszkiewicz

Faculty of Mathematics, University of Bialystok, 1M, Ciolkowskiego Street, Bialystok 15-245, Poland

E-mail Address: r.andruszkiewicz@uwb.edu.pl

https://doi.org/10.1142/S0219498824501214Cited by:0 (Source: Crossref)

Abstract

The paper contains the classification of non-commutative torsion-free associative rings of rank two. Furthermore, torsion-free abelian groups of rank two supporting an associative, but not commutative ring structure are classified.

Communicated by A. Leroy

Keywords:

AMSC: 20K15, 16D99

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