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Equations in Algebras
release_fwupmojyjbb5fbycctgesd4gnq
by
Olga Kharlampovich, Alexei Myasnikov
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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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1606.03617v2
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