Some fixed-point results on (generalized) Bruck-Reilly-extensions of monoids
Date
2013-03-29
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
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.
Description
Keywords
Bruck-Reilly extension, Generalized Bruck-Reilly-extension, Pi-inverse monoid, Regular monoid, Constructions
Citation
Karpuz, E. G. vd. (2013). “Some fixed-point results on (generalized) Bruck-Reilly-extensions of monoids”. Fixed Point Theory and Applications, 2013.