A new approach to connect algebra with analysis: relationships and applications between presentations and generating functions
| dc.contributor.author | Cangul, Ismail Naci | |
| dc.contributor.author | Cevik, Ahmet Sinan | |
| dc.contributor.author | Simsek, Yilmaz | |
| dc.date.accessioned | 2020-03-26T18:41:01Z | |
| dc.date.available | 2020-03-26T18:41:01Z | |
| dc.date.issued | 2013 | |
| dc.department | Selçuk Üniversitesi | en_US |
| dc.description.abstract | For a minimal group (or monoid) presentation P, let us suppose that P satisfies the algebraic property of either being efficient or inefficient. Then one can investigate whether some generating functions can be applied to it and study what kind of new properties can be obtained by considering special generating functions. To establish that, we will use the presentations of infinite group and monoid examples, namely the split extensions Z(n) X Zand Z(2) X Z, respectively. This study will give an opportunity to make a new classification of infinite groups and monoids by using generating functions. | en_US |
| dc.description.sponsorship | Research Project Offices of UludagUludag University; Selcuk UniversitySelcuk University; Akdeniz UniversityAkdeniz University | en_US |
| dc.description.sponsorship | All authors are partially supported by Research Project Offices of Uludag (2012-15 and 2012-19), Selcuk and Akdeniz Universities. | en_US |
| dc.identifier.doi | 10.1186/1687-2770-2013-51 | en_US |
| dc.identifier.issn | 1687-2770 | en_US |
| dc.identifier.uri | https://dx.doi.org/10.1186/1687-2770-2013-51 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12395/29163 | |
| dc.identifier.wos | WOS:000325722000001 | en_US |
| dc.identifier.wosquality | Q1 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | SPRINGEROPEN | en_US |
| dc.relation.ispartof | BOUNDARY VALUE PROBLEMS | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.selcuk | 20240510_oaig | en_US |
| dc.subject | efficiency | en_US |
| dc.subject | p-Cockcroft property | en_US |
| dc.subject | split extension | en_US |
| dc.subject | generating functions | en_US |
| dc.subject | Stirling numbers | en_US |
| dc.subject | array polynomials | en_US |
| dc.title | A new approach to connect algebra with analysis: relationships and applications between presentations and generating functions | en_US |
| dc.type | Article | en_US |
