@misc{KarpuzCevikKoppitzetal.2013,
  author    = {Karpuz, Eylem Guzel and {\c{C}}evik, Ahmet Sinan and Koppitz, J{\"o}rg and Cangul, Ismail Naci},
  title     = {Some fixed-point results on (generalized) Bruck-Reilly ∗-extensions of monoids},
  series = {Postprints der Universit{\"a}t Potsdam : Mathematisch-Naturwissenschaftliche Reihe},
  journal   = {Postprints der Universit{\"a}t Potsdam : Mathematisch-Naturwissenschaftliche Reihe},
  number    = {942},
  issn      = {1866-8372},
  doi       = {10.25932/publishup-43270},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-432701},
  pages     = {11},
  year      = {2013},
  abstract  = {In this paper, we determine necessary and sufficient conditions for Bruck-Reilly and generalized Bruck-Reilly ∗-extensions of arbitrary monoids to be regular, coregular and strongly π-inverse. These semigroup classes have applications in various field of mathematics, such as matrix theory, discrete mathematics and p-adic analysis (especially in operator theory). In addition, while regularity and coregularity have so many applications in the meaning of boundaries (again in operator theory), inverse monoids and Bruck-Reilly extensions contain a mixture fixed-point results of algebra, topology and geometry within the purposes of this journal.},
  language  = {en}
}