The next step of the word problem over monoids
Küçük Resim Yok
Tarih
2011
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
ELSEVIER SCIENCE INC
Erişim Hakkı
info:eu-repo/semantics/openAccess
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. (C) 2011 Elsevier Inc. All rights reserved.
Açıklama
Anahtar Kelimeler
Monoid pictures, Word problem, Presentation, Identity problem
Kaynak
APPLIED MATHEMATICS AND COMPUTATION
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
218
Sayı
3
