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math.GR2026
All mixed identities are singular in groups with no algebraicity
Paolo Marimon, Michael Pinsker
We show that if a group admits an action with no algebraicity then all of its mixed identities are singular. Previously, such groups were only known to be lawless by a theorem of A…
math.LO2026
Minimal and intrinsic topologies on monoids of elementary embeddings
J. de la Nuez González, Zaniar Ghadernezhad, Paolo Marimon +1
To every -categorical structure one can associate two spaces of symmetries which determine the structure up to first-order bi-interpretability: the topological g…