@article{FernandesKoppitzMusunthia2019,
  author    = {Fernandes, Vitor H. and Koppitz, J{\"o}rg and Musunthia, Tiwadee},
  title     = {The Rank of the Semigroup of All Order-Preserving Transformations on a Finite Fence},
  series = {Bulletin of the Malaysian Mathematical Sciences Society volume},
  volume    = {42},
  journal   = {Bulletin of the Malaysian Mathematical Sciences Society volume},
  number    = {5},
  publisher = {Malaysian mathematical sciences sciences soc},
  address   = {Pulau Punang},
  issn      = {0126-6705},
  doi       = {10.1007/s40840-017-0598-1},
  pages     = {2191 -- 2211},
  year      = {2019},
  abstract  = {A zig-zag (or fence) order is a special partial order on a (finite) set. In this paper, we consider the semigroup TFn of all order-preserving transformations on an n-element zig-zag-ordered set. We determine the rank of TFn and provide a minimal generating set for TFn. Moreover, a formula for the number of idempotents in TFn is given.},
  language  = {en}
}
@article{KoppitzMusunthia2014,
  author    = {Koppitz, J{\"o}rg and Musunthia, Tiwadee},
  title     = {Maximal subsemigroups containing a particular semigroup},
  series = {Mathematica Slovaca},
  volume    = {64},
  journal   = {Mathematica Slovaca},
  number    = {6},
  publisher = {De Gruyter},
  address   = {Warsaw},
  issn      = {0139-9918},
  doi       = {10.2478/s12175-014-0280-0},
  pages     = {1369 -- 1380},
  year      = {2014},
  abstract  = {We characterize maximal subsemigroups of the monoid T(X) of all transformations on the set X = a"center dot of natural numbers containing a given subsemigroup W of T(X) such that T(X) is finitely generated over W. This paper gives a contribution to the characterization of maximal subsemigroups on the monoid of all transformations on an infinite set.},
  language  = {en}
}
@unpublished{KoppitzMusunthia2012,
  author    = {Koppitz, J{\"o}rg and Musunthia, Tiwadee},
  title     = {Maximal subsemigroups containing a particular semigroup},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-57465},
  year      = {2012},
  abstract  = {We study maximal subsemigroups of the monoid T(X) of all full transformations on the set X = N of natural numbers containing a given subsemigroup W of T(X), where each element of a given set U is a generator of T(X) modulo W. This note continues the study of maximal subsemigroups of the monoid of all full transformations on an infinite set.},
  language  = {en}
}
@phdthesis{Musunthia2010,
  author    = {Musunthia, Tiwadee},
  title     = {On the study of varieties of rings with involution},
  address   = {Potsdam},
  pages     = {IV, 89 S. : graph. Darst.},
  year      = {2010},
  language  = {en}
}
@article{MusunthiaKoppitz2017,
  author    = {Musunthia, Tiwadee and Koppitz, J{\"o}rg},
  title     = {Maximal subsemigroups of some semigroups of order-preserving mappings on a countably infinite set},
  series = {Forum mathematicum},
  volume    = {29},
  journal   = {Forum mathematicum},
  publisher = {De Gruyter},
  address   = {Berlin},
  issn      = {0933-7741},
  doi       = {10.1515/forum-2015-0093},
  pages     = {971 -- 984},
  year      = {2017},
  abstract  = {In this paper, we study the maximal subsemigroups of several semigroups of order-preserving transformations on the natural numbers and the integers, respectively. We determine all maximal subsemigroups of the monoid of all order-preserving injections on the set of natural numbers as well as on the set of integers. Further, we give all maximal subsemigroups of the monoid of all bijections on the integers. For the monoid of all order-preserving transformations on the natural numbers, we classify also all its maximal subsemigroups, containing a particular set of transformations.},
  language  = {en}
}