23 citations · 112 across the 42 of their papers we have counts for
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math.LO2016
What does a group algebra of a free group know about the group?
O. Kharlampovich, A. Miasnikov
We describe solutions to the problem of elementary classification in the class of group algebras of free groups. We will show that unlike free groups, two group algebras of free gr…
math.LO2016
Equations in Algebras
Olga Kharlampovich, Alexei Myasnikov
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 variet…