Equations in Algebras release_fwupmojyjbb5fbycctgesd4gnq

by Olga Kharlampovich, Alexei Myasnikov

Released as a article .

2016  

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.
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Type  article
Stage   submitted
Date   2016-06-27
Version   v2
Language   en ?
arXiv  1606.03617v2
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