Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630632 | Applied Mathematics and Computation | 2011 | 5 Pages |
Abstract
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.
Keywords
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
E. Güzel Karpuz, Fırat AteÅ, A. Sinan Ãevik, İ. Naci Cangül, A. Dilek Maden (Güngör),