TY  - GEN
A1  - Karpuz, Eylem Guzel
A1  - Çevik, Ahmet Sinan
A1  - Koppitz, Jörg
A1  - Cangul, Ismail Naci
T1  - Some fixed-point results on (generalized) Bruck-Reilly ∗-extensions of monoids
T2  - Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe
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 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.
T3  - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - 942 
KW  - Bruck-Reilly extension
KW  - generalized Bruck-Reilly ∗-extension
KW  - π -inverse monoid
KW  - regular monoid
Y1  - 2020
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-432701
SN  - 1866-8372
IS  - 942
ER  -