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Original Articles

Maximal properties of some subsemigroups in finite order-preserving transformation semigroups

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Pages 3125-3135 | Received 01 Feb 1999, Published online: 27 Jun 2007

References

  • Garba , G.U. 1994 . On the idempotent ranks of certain semigroups of order-preserving transformations . Portugaliae Mathematica , 51 : 185 – 204 .
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  • Higgins , P.M. 1993 . Combinatorial results for semigroups of order-preserving mappings . Math. Proc. Cambridge Phil. Soc , 113 : 281 – 296 .
  • Howie , J.M. 1971 . Products of idempotents in certain semigroups of transformations . Proc. Edinburgh Math. Soc , 17 ( 2 ) : 223 – 236 .
  • Xiuliang , Yang . 1998 . On the nilpotent ranks of the principal factors of order-preserving transformation semigroups . Semigroup Forum , 57 ( 2 ) : 331 – 340 .
  • Xiuliang , Yang . 1999 . Products of idempotents of defect 1 in certain semigroups of transformations . Communications in Algebra , 27 ( 2 ) : 3557 – 3568 .
  • Xiuliang , Yang . 2000 . A classification of maximal subsemigroups of finite order-preserving transformation semigroups . Communications in Algebra , 28 ( 2 ) : 1503 – 1513 .
  • Xiuliang , Yang . 1998 . On the nilpotent ranks of the principal factors of certain semigroups of partial transformations . Communications in Algebra , 26 ( 2 ) : 1445 – 1455 .

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