activity
20162022
most citedSimple groups with infinite verbal width and the same positive theory as free groups

2 citations · 5 across the 8 of their papers we have counts for

collaborators
Showing 2020Show all

2 papers · 1 filter

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 …