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20162020
most citedRandom nilpotent groups, polycyclic presentations, and Diophantine problems

2 citations · 3 across the 5 of their papers we have counts for

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math.NT2020★ 1 cited

The Diophantine problem in finitely generated commutative rings

Albert Garreta, Alexei Miasnikov, Denis Ovchinnikov

We study systems of polynomial equations in infinite finitely generated commutative associative rings with an identity element. For each such ring we obtain an interpretation b…

math.GR2020

Metabelian groups: full-rank presentations, randomness and Diophantine problems

Albert Garreta, Leire Legarreta, Alexei Miasnikov +1

We study metabelian groups given by full rank finite presentations in the variety of metabelian groups. We prove that …