Some fixed-point results on (generalized) Bruck-Reilly *-extensions of monoids
- 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.
| Author details: | Eylem Guzel Karpuz, Ahmet Sinan Cevik, Jörg KoppitzORCiDGND, Ismail Naci CangulORCiD |
|---|---|
| DOI: | https://doi.org/10.1186/1687-1812-2013-78 |
| ISSN: | 1687-1812 |
| Title of parent work (English): | Fixed point theory and applications |
| Publisher: | Springer |
| Place of publishing: | Cham |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2013 |
| Publication year: | 2013 |
| Release date: | 2017/03/26 |
| Tag: | Bruck-Reilly extension; generalized Bruck-Reilly *-extension; pi-inverse monoid; regular monoid |
| Issue: | 3 |
| Number of pages: | 9 |
| Funding institution: | Research Project Offices (BAP) of Selcuk University [13701071]; Research Project Offices (BAP) of Uludag University [2012-15, 2012-19] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
| Publishing method: | Open Access |
| External remark: | Zweitveröffentlichung in der Schriftenreihe Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe ; 945 |
