Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleThe classification of non-commutative torsion-free rings of rank two.AuthorsAndruszkiewicz, Ryszard R.AbstractThe 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.SubjectsNONCOMMUTATIVE rings; ASSOCIATIVE rings; ABELIAN groups; COMMUTATIVE rings; CLASSIFICATIONPublicationJournal of Algebra & Its Applications, 2024, Vol 23, Issue 6, p1ISSN0219-4988Publication typeArticleDOI10.1142/S0219498824501214