Article ID Journal Published Year Pages File Type
4630632 Applied Mathematics and Computation 2011 5 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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