Some fixed-point results on (generalized) Bruck-Reilly *-extensions of monoids

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dc.contributor.authorKarpuz, Eylem Guzel
dc.contributor.authorCevik, Ahmet Sinan
dc.contributor.authorKoppitz, Joerg
dc.contributor.authorCangul, Ismail Naci
dc.date.accessioned2020-03-26T18:43:26Z
dc.date.available2020-03-26T18:43:26Z
dc.date.issued2013
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractIn 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.en_US
dc.description.sponsorshipResearch Project Offices (BAP) of Selcuk UniversitySelcuk University [13701071]; Research Project Offices (BAP) of Uludag UniversityUludag University [2012-15, 2012-19]en_US
dc.description.sponsorshipThe second and fourth authors are partially supported by Research Project Offices (BAP) of Selcuk (with Project No. 13701071) and Uludag (with Project No. 2012-15 and 2012-19) Universities, respectively.en_US
dc.identifier.doi10.1186/1687-1812-2013-78en_US
dc.identifier.issn1687-1812en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://dx.doi.org/10.1186/1687-1812-2013-78
dc.identifier.urihttps://hdl.handle.net/20.500.12395/29828
dc.identifier.wosWOS:000326449800001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSPRINGER INTERNATIONAL PUBLISHING AGen_US
dc.relation.ispartofFIXED POINT THEORY AND APPLICATIONSen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectBruck-Reilly extensionen_US
dc.subjectgeneralized Bruck-Reilly *-extensionen_US
dc.subjectpi-inverse monoiden_US
dc.subjectregular monoiden_US
dc.titleSome fixed-point results on (generalized) Bruck-Reilly *-extensions of monoidsen_US
dc.typeArticleen_US

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