“…In the algebraic theory of difference equations there has long been a focus on fields, but in the last decade the importance of studying solutions of systems of algebraic difference equations in more general difference rings has more and more been recognized. See e.g., [vdPS97,Hru04,Tom14,Tom16,MS11,DVHW14,Wibb,Tom]. In particular, the solution sets of systems of algebraic difference equations in the ring of sequences, which are of utmost importance from an applied perspective, have been studied in [OPS20] and [PSW20].…”