54
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

A DIVISION THEOREM FOR THE PSEUDOVARIETY GENERATED BY SEMIGROUPS OF ORIENTATION PRESERVING TRANSFORMATIONS ON A FINITE CHAIN

Pages 451-456 | Received 01 Aug 1999, Published online: 31 Aug 2006

REFERENCES

  • Catarino , P. M. and Higgins , P. M. 1999 . The Monoid of Orientation-Preserving Mappings on a Chain . Semigroup Forum , 58 : 190 – 206 .
  • Catarino , P. M. and Higgins , P. M. The Pseudovariety Generated by all Semigroups of Orientation-Preserving Transformations on a Finite Cycle . Internal J. Algebra Comput. , to appear
  • Catarino , P. M. Monoids of Orientation-Preserving Transformations of a Finite Chain and Their Presentation . Proceedings of the Conference in St Andrews . 1997 , Scotland. Semigroups and Applications , Edited by: Howie , J. M. and Rusˇkuc , N. pp. 39 – 46 . World Scientific .
  • Fernandes , V. H. 1997 . Semigroups of Order-Preserving Mappings on a Finite Chain: A New Class of Divisors . Semigroup Forum , 54 : 230 – 236 .
  • Fernandes , V. H. “ The Monoid of All Injective Order Preserving Partial Transformations on a Finite Chain ” . In Semigroup Forum, to appear
  • Fernandes , V. H. 2000 . The Monoid of All Injective Orientation Preserving Partial Transformations on a Finite Chain . Communications in Algebra , 28 ( 7 ) : 3401 – 3426 .
  • Fernandes , V. H. Semigroups of Order-Preserving Mappings on a Finite Chain: Another Class of Divisors . it submitted
  • Higgins , P. M. 1995 . Divisors of Semigroups of Order Preserving Mappings on a Finite Chain . Internal J. Algebra Comput. , 5 ( 6 ) : 725 – 742 .
  • Higgins , P. M. Pseudovarieties Generated by Transformations Semigroups . Proceedings of the Conference in St Petersburg . 1995 . Semigroups and Their Applications Including Semigroup Rings , Edited by: Kublanovsky , S. , Mikhalev , A. , Ponizovskii˘ , J. and Higgins , P. pp. 85 – 94 . St Petersburg : Russian State Hydrometeorological Institute .
  • Vernitskii˘ , A. and Volkov , M. V. A Proof and Generalisation of Higgins' Division Theorem for Semigroups of Order-Preserving Mappings . Izv. vuzov. Matematika , 1995 ( 1 ) 38 – 44 . Russian

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.