- search hit 1 of 1
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 |