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We consider varieties generated by finite closure algebras whose canonicalrelations have two levels, and whose restriction to a level is an "extremal"relation, i.e. the identity or the universal relation. The corresponding logicshave frames of depth two, in which a level consists of a set of simple clustersor of one cluster with one or more elements.

Closure algebras of depth two with extremal relations: Their frames, logics, and structural completeness