Minisker, Melis2024-09-182024-09-1820090037-1912https://doi.org/10.1007/s00233-008-9089-xhttps://hdl.handle.net/20.500.12483/12284In this paper we consider certain ranks of some semigroups. These ranks are r (1)(S),r (2)(S),r (3)(S),r (4)(S) and r (5)(S) as defined below. We have r (1)a parts per thousand currency signr (2)a parts per thousand currency signr (3)a parts per thousand currency signr (4)a parts per thousand currency signr (5). The semigroups are CL (n) ,CL (m) xCL (n) ,Z (n) and SL (n) . Here CL (n) is a chain with n elements, Z (n) is the zero semigroup on n elements and SL (n) is the free semilattice generated by n elements and having 2 (n) -1 elements. We find many of the ranks for these classes of semigroups.eninfo:eu-repo/semantics/closedAccessSmall rankLarge rankFree semilatticeArticle7819910510.1007/s00233-008-9089-x2-s2.0-59849103062Q2WOS:000263116900010Q3