On relative ranks of full transformation semigroups

References

• Devadze , H.M. 1968 . Generating sets of the semigroup of all binary relations on a finite set (Russian) . Dokl Akad. Nauk BSSR , 12 : 765 – 768 .
   Google Scholar
• Garba , G.U. 1994 . On the nilpotent ranks of certain semigroups of transformations . Glasgow Math. J , 36 : 1 – 9 .
   Web of Science ®Google Scholar
• Gomes , G.M.S. and Howie , J.M. 1987 . On the ranks of certain finite semigroups of transformations . Math. Proc. Cambridge Philos. Soc , 101 : 395 – 403 .
   Web of Science ®Google Scholar
• Gomes , G.M.S. and Howie , J.M. 1992 . On the ranks of certain semigroups of order-preserving transformations . Semigroup Forum , 45 : 272 – 282 .
   Web of Science ®Google Scholar
• Halmos , P.R. 1960 . Naive Set Theory (Van Nostrand Reinhold Company New York
   Google Scholar
• Higgins , P.M. , Howie , J.M. and Ruškuc , N. Generators and factorizations of transformation semigroups submitted
   Google Scholar
• Howie , J.M. 1966 . The subsemigroup generated by the idempotents of a full transformation semigroup . J. London Math. Soc , 41 : 707 – 716 .
   Web of Science ®Google Scholar
• Howie , J.M. 1995 . Fundamentals of Semigroup Theory , Oxford University Press .
   Google Scholar
• Howie , J.M. and Mcfadden , R.B. 1990 . Idempotent rank in finite full transformation semigroups . Proc. Royal Soc. Edinburgh , 114A : 161 – 167 .
   Web of Science ®Google Scholar
• Jech , T. 1978 . Set Theory , New York : Academic Press .
   Google Scholar
• Konieczny , J. 1994 . Green equivalences in finite semigroups of binary relations . Semigroup Forum , 48 : 235 – 252 .
   Google Scholar
• Ruškuc , N. 1994 . On the rank of completely 0-simple semigroups . Math. Proc. Cambridge Philos. Soc , 116 : 325 – 338 .
   Web of Science ®Google Scholar
• Ruškuc , N. 1995 . Matrix semigroups—generators and relations . Semigroup Forum , 51 : 319 – 333 .
   Web of Science ®Google Scholar
• Vorobev , N.N. 1953 . On symmetric associative systems . Leningrad Gos. Ped. Inst. Uch. Zap , 89 : 161 – 166 .
   Google Scholar