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 π-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.
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| Author details: | Eylem Guzel KarpuzORCiD, Ahmet Sinan Çevik, Jörg KoppitzORCiDGND, Ismail Naci CangulORCiD |
|---|---|
| URN: | urn:nbn:de:kobv:517-opus4-432701 |
| DOI: | https://doi.org/10.25932/publishup-43270 |
| ISSN: | 1866-8372 |
| Title of parent work (German): | Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe |
| Publication series (Volume number): | Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe (942) |
| Publication type: | Postprint |
| Language: | English |
| Date of first publication: | 2020/06/04 |
| Publication year: | 2013 |
| Publishing institution: | Universität Potsdam |
| Release date: | 2020/06/04 |
| Tag: | Bruck-Reilly extension; generalized Bruck-Reilly ∗-extension; regular monoid; π -inverse monoid |
| Issue: | 942 |
| Number of pages: | 11 |
| Source: | Fixed Point Theory and Applications 2013 (2013) 78 DOI: 10.1186/1687-1812-2013-78 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Peer review: | Referiert |
| Publishing method: | Open Access |
| License (English): |  Creative Commons - Namensnennung 2.0 Generic |
| External remark: | Bibliographieeintrag der Originalveröffentlichung/Quelle |
