PRESENTATIONS FOR SOME MONOIDS OF PARTIAL TRANSFORMATIONS ON A FINITE CHAIN#

@inproceedings{Fernandes2011PRESENTATIONSFS,
  title={PRESENTATIONS FOR SOME MONOIDS OF PARTIAL TRANSFORMATIONS ON A FINITE CHAIN#},
  author={V{\'i}tor H. Fernandes and Gracinda M. S. Gomes and Manuel Messias Alvino de Jesus},
  year={2011}
}
In this paper we calculate presentations for some natural monoids of transformations on a chain Xn = 1 < 2 < · · · < n . First we consider n [ n], the monoid of all full [partial] transformations on Xn that preserve or reverse the order. Two other monoids of partial transformations on Xn we look at are n and n—the elements of the first preserve the orientation and the elements of the second preserve or reverse the orientation. 

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 16 references

Presentations for two extensions of the monoid of orderpreserving mappings on a finite chain

  • R. E. Arthur, N. Rus̆kuc
  • 2000
Highly Influential
8 Excerpts

Semigroups of order-preserving mappings on a finite chain

  • V H.
  • eds.). World Scientific,
  • 2002

The GAP Group

  • Bull. Math
  • GAP–Groups, Algorithms, and Programming, Version
  • 2002

orientation preserving transformations on a finite chain

  • V H.
  • Comm. Alg
  • 2002

The monoid of all injective order preserving partial transformations

  • V H.
  • 2001

Abelian kernels of some monoids of injective partial transformations and an application. Semigroup Forum 61:435–452

  • M. Delgado, V. H. Fernandes
  • 2000
1 Excerpt

The monoid of all injective orientation preserving partial

  • V. H. 418–433. Fernandes
  • 2000
1 Excerpt

The monoid of orientation-preserving mappings on a chain. Semigroup Forum 58:190–206

  • P. M. Catarino, P. M. Higgins
  • 1999
1 Excerpt

Monoids of orientation-preserving transformations of a finite chain and their presentations

  • P. M. Catarino
  • Semigroups and Applications
  • 1998
3 Excerpts