We prove that the class of Artin algebras whose Auslander-Reiten quiver admits a separating family of almost cyclic coherent components coincides with the class of generalized multicoil enlargements of concealed canonical algebras. Moreover, the module category, homological properties and the representation type of Artin algebras with separating families of almost cyclic coherent Auslander-Reiten components are described.

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We complete the derived equivalence classification of the gentle two-cycle algebras initiated in earlier papers by Avella-Alaminos and Bobiński-Malicki.

We provide an affirmative answer for the question raised almost twenty years ago concerning the characterization of tilted artin algebras by the existence of a sincere finitely generated module which is not the middle of a short chain

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