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Minimality over free monoid presentations

   Cevik, A. Sinan; Das, Kinkar Ch.; Cangul, I. Naci; Maden, A. Dilek

As a continues study of the paper [4], in here, we first state and prove the p-Cockcroft property (or, equivalently, efficiency) for a presentation, say PE, of the semi-direct product of a free abelian monoid rank two by a finite cyclic monoid. Then, in a separate section, we present sufficient conditions on a special case for PE to be minimal whilst it is inefficient.

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