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In this paper we introduce a sharpening of the Parikh mapping and investigate its basic properties. The new mapping is based on square matrices of a certain form. The classical Parikh vector appears in such a matrix as the second diagonal. However, the matrix product gives more information about a word than the Parikh vector. We characterize the matrix products and establish also an interesting interconnection between mirror images of words and inverses of matrices.
In this paper we introduce
a sharpening of the Parikh mapping and investigate
its basic properties.
The new mapping is based on square
matrices of a certain form. The classical Parikh vector
appears in such a matrix as the second diagonal.
However, the matrix product gives more information about
a word than the Parikh vector. We characterize the matrix
products and establish also an interesting interconnection
between mirror images of words and inverses of .
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