3 papers
math.LO2026
Galois theory, automorphism groups of prime models, and the Picard-Vessiot closure
David Meretzky, Anand Pillay
We work in the context of a complete totally transcendental theory . We consider the prime model over a set . For intermediate sets with $A\subseteq B \s…
math.RA2025
Bass modules and embeddings into free modules
Anand Pillay, Philipp Rothmaler
We show that the free module of infinite rank purely embeds every -generated flat left -module iff is left perfect. Using a Bass module corresponding to a des…
math.RA2025
Free algebras, universal models and Bass modules
Anand Pillay, Philipp Rothmaler
We investigate the question of when free structures of infinite rank (in a variety) possess model-theoretic properties like categoricity in higher power, saturation, or universalit…