Çevik, A. SinanDas, Kinkar Chandra2024-01-312024-01-312014Cevik, A. S. vd. (2014). "Minimality over free monoid presentations". Hacettepe Matematik ve İstatistik Dergisi, 43(6), 899-913.http://hjms.hacettepe.edu.tr/uploads/e8697e4d-f643-4fd2-9ba3-4e7616d44e23.pdfhttps://hdl.handle.net/11452/39413As 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/closedAccessEfficiencyp-cockcroft propertyMinimalityP-cockcroft propertySemidirect productsMathematicsArticle0003486910000022-s2.0-84961710678899913436https://doi.org/10.15672/HJMS.2014437522MathematicsStatistics & probabilitySemigroup; Inverse Semigroup; Word Problem2651477X