English

On Relative Ranks of the Semigroup of Orientation-preserving Transformations on Infinite Chains

Rings and Algebras 2021-11-25 v2

Abstract

In this paper, we determine the relative rank of the semigroup OP(X) of all orientation-preserving transformations on infinite chains modulo the semigroup O(X) of all order-preserving transformations.

Keywords

Cite

@article{arxiv.2006.07661,
  title  = {On Relative Ranks of the Semigroup of Orientation-preserving Transformations on Infinite Chains},
  author = {Ilinka Dimitrova and Jörg Koppitz},
  journal= {arXiv preprint arXiv:2006.07661},
  year   = {2021}
}