Submission date: 11 June 2016

Abstract:

We show that the Diophantine problem is undecidable in free associative algebras and in group algebras over any field of torsion free hyperbolic groups, toral relatively hyperbolic groups, Right angled Artin groups, free products of groups.

Mathematics Subject Classification: 16B70, 03C60

Keywords and phrases:

Full text arXiv 1606.03617: pdf, ps.