Affiliation:
1. Hunter College CUNY, NY, USA
2. Stevens Institute of Technology, NJ, USA
Abstract
We show that the Diophantine problem (decidability of equations) is undecidable in free associative algebras over any field and in the group algebras over any field of a wide variety of torsion free groups, including toral relatively hyperbolic groups, right-angled Artin groups, commutative transitive groups, the fundamental groups of various graph groups, etc.
Publisher
World Scientific Pub Co Pte Lt
Cited by
6 articles.
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