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math.LO2023
Ellis enveloping semigroups in real closed fields
Elías Baro, Daniel Palacín
We introduce the Boolean algebra of d-semialgebraic (more generally, d-definable) sets and prove that its Stone space is naturally isomorphic to the Ellis enveloping semigroup of t…
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…