TY  - JOUR
A1  - Karpuz, Eylem Guzel
A1  - Cevik, Ahmet Sinan
A1  - Koppitz, Jörg
A1  - Cangul, Ismail Naci
T1  - Some fixed-point results on (generalized) Bruck-Reilly *-extensions of monoids
JF  - Fixed point theory and applications
N2  - 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.
KW  - Bruck-Reilly extension
KW  - generalized Bruck-Reilly *-extension
KW  - pi-inverse monoid
KW  - regular monoid
Y1  - 2013
U6  - https://doi.org/10.1186/1687-1812-2013-78
SN  - 1687-1812
IS  - 3
PB  - Springer
CY  - Cham
ER  -