Karpuz, Eylem GüzelÇevik, Ahmet SinanKoppitz, Jörg2023-05-182023-05-182013-03-29Karpuz, E. G. vd. (2013). “Some fixed-point results on (generalized) Bruck-Reilly-extensions of monoids”. Fixed Point Theory and Applications, 2013.1687-1812https://doi.org/10.1186/1687-1812-2013-78https://fixedpointtheoryandalgorithms.springeropen.com/articles/10.1186/1687-1812-2013-78http://hdl.handle.net/11452/32721In 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.eninfo:eu-repo/semantics/openAccessBruck-Reilly extensionGeneralized Bruck-Reilly-extensionPi-inverse monoidRegular monoidConstructionsArticle0003264498000012-s2.0-849025845472013Congruence; Inverse Semigroup; Monoids