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. © 2013 Guzel Karpuz et al.; licensee Springer.
CITATION STYLE
Karpuz, E. G., Çevik, A. S., Koppitz, J., & Cangul, I. N. (2013). Some fixed-point results on (generalized) Bruck-Reilly*-extensions of monoids. Fixed Point Theory and Applications, 2013. https://doi.org/10.1186/1687-1812-2013-78
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