@article{KarpuzCevikKoppitzetal.2013, author = {Karpuz, Eylem Guzel and Cevik, Ahmet Sinan and Koppitz, J{\"o}rg and Cangul, Ismail Naci}, title = {Some fixed-point results on (generalized) Bruck-Reilly *-extensions of monoids}, series = {Fixed point theory and applications}, journal = {Fixed point theory and applications}, number = {3}, publisher = {Springer}, address = {Cham}, issn = {1687-1812}, doi = {10.1186/1687-1812-2013-78}, pages = {9}, 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 pi-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} }