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Başlık: The next step of the word problem over monoids
Yazarlar: Karpuz, Eylem Güzel
Ateş, Fırat
Çevik, Ahmet Sinan
Maden, Ayşe Dilek Güngör
Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/MatematikBölümü.
0000-0002-0700-5774
0000-0002-0700-5774
Cangül, İsmail Naci
ABA-6206-2020
J-3505-2017
57189022403
Anahtar kelimeler: Mathematics
Monoid pictures
Word problem
Presentation
Identity problem
Homological finiteness condition
Group presentation
Identity problem
Monoid pictures
Monoids
One-dimension
Physical application
Presentation
Word problem
Algebra
Yayın Tarihi: Eki-2011
Yayıncı: Elsevier Science
Atıf: Karpuz, E. G. vd. (2011). "The next step of the word problem over monoids". Applied Mathematics and Computation, 218(3), 794-798.
Özet: It is known that a group presentation P can be regarded as a 2-complex with a single 0-cell. Thus we can consider a 3-complex with a single 0-cell which is known as a 3-presentation. Similarly, we can also consider 3-presentations for monoids. In this paper, by using spherical monoid pictures, we show that there exists a finite 3-monoid-presentation which has unsolvable "generalized identity problem'' that can be thought as the next step (or one-dimension higher) of the word problem for monoids. We note that the method used in this paper has chemical and physical applications.
URI: https://doi.org/10.1016/j.amc.2011.03.076
https://www.sciencedirect.com/science/article/pii/S0096300311004449
http://hdl.handle.net/11452/25419
ISSN: 0096-3003
1873-5649
Koleksiyonlarda Görünür:Scopus
Web of Science

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