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math.LO2023
Rings of finite Morley rank without the canonical base property
Michael Loesch, Daniel Palacín
We present numerous natural algebraic examples without the so-called Canonical Base Property (CBP). We prove that every commutative unitary ring of finite Morley rank without finit…
math.LO2021
A (possibly new) structure without the canonical base property
Michael Loesch
In this short note, we introduce a generalization of the canonical base property, called transfer of internality on quotients. A structural study of groups definable in theories wi…
math.LO2020
Additive covers and the Canonical Base Property
Michael Loesch
We give a new approach to the failure of the Canonical Base Property (CBP) in the so far only known counterexample, produced by Hrushovski, Palacin and Pillay. For this purpose, we…