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

GÜZEL KARPUZ, EYLEM; ÇEVİK, AHMET; Koppitz, Joerg; CANGÜL, İSMAİL

doi:10.1186/1687-1812-2013-78

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

GÜZEL KARPUZ E., ÇEVİK A. S., Koppitz J., CANGÜL İ. N.

FIXED POINT THEORY AND APPLICATIONS, 2013 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası:
Basım Tarihi: 2013
Doi Numarası: 10.1186/1687-1812-2013-78
Dergi Adı: FIXED POINT THEORY AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Bursa Uludağ Üniversitesi Adresli: Evet

Özet

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.