Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/26376
Title: Analysis approach to finite monoids
Authors: Çevik, Ahmet Sinan
Şimşek, Yılmaz
Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.
0000-0002-0700-5774
Cangül, Naci İsmail
ABA-6206-2020
57189022403
Keywords: Efficiency
p-Cockcroft property
Split extension
Generating functions
Stirling numbers
Array polynomials
Semidirect products
Derivation type
Bernoulli
Presentations
Euler
Issue Date: 2013
Publisher: Springer International Publishing
Citation: Çevik, A. S. vd. (2013). "Analysis approach to finite monoids". Fixed Point Theory and Applications, 1-18.
Abstract: In a previous paper by the authors, a new approach between algebra and analysis has been recently developed. In detail, it has been generally described how one can express some algebraic properties in terms of special generating functions. To continue the study of this approach, in here, we state and prove that the presentation which has the minimal number of generators of the split extension of two finite monogenic monoids has different sets of generating functions (such that the number of these functions is equal to the number of generators) that represent the exponent sums of the generating pictures of this presentation. This study can be thought of as a mixture of pure analysis, topology and geometry within the purposes of this journal.
URI: https://doi.org/10.1186/1687-1812-2013-15
https://fixedpointtheoryandapplications.springeropen.com/articles/10.1186/1687-1812-2013-15
http://hdl.handle.net/11452/26376
ISSN: 1687-1812
Appears in Collections:Scopus
Web of Science

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