3 papers
math.RA2020
On the space of Sylvester matrix rank functions
Andrei Jaikin-Zapirain, Diego López-Álvarez
Given a ring , the notion of Sylvester rank function was conceived within the context of Cohn's classification theory of epic division -rings. In this paper we study and desc…
math.RA2020
Pseudo-Sylvester domains and skew Laurent polynomials over firs
Fabian Henneke, Diego López-Álvarez
Building on recent work of Jaikin-Zapirain, we provide a homological criterion for a ring to be a pseudo-Sylvester domain, that is, to admit a division ring of fractions over which…
math.GR2018
The strong Atiyah and Lück approximation conjectures for one-relator groups
Andrei Jaikin-Zapirain, Diego López-Álvarez
It is shown that the strong Atiyah conjecture and the Lück approximation conjecture in the space of marked groups hold for locally indicable groups. In particular, this implies tha…