Cevik, A. SinanDas, Kinkar Ch.Cangul, I. NaciMaden, A. Dilek2020-03-262020-03-2620141303-5010https://hdl.handle.net/20.500.12395/30990As 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.eninfo:eu-repo/semantics/closedAccessMinimalityEfficiencyp-Cockcroft propertyArticle436899913Q3WOS:000348691000002Q4