23 citations · 47 across the 20 of their papers we have counts for
Showing 2018Show all
2 papers · 1 filter
math.GR2018
Diophantine problems in solvable groups
Albert Garreta, Alexei Miasnikov, Denis Ovchinnikov
We study the Diophantine problem (decidability of finite systems of equations) in different classes of finitely generated solvable groups (nilpotent, polycyclic, metabelian, free s…
math.RA2018
Studying the Diophantine problem in finitely generated rings and algebras via bilinear maps
Albert Garreta, Alexei Miasnikov, Denis Ovchinnikov
We study systems of polynomial equations in several classes of finitely generated rings and algebras. For each ring (or algebra) in one of these classes we obtain an interpreta…