Abstract
In this paper, we define the Super-Parikh (S-Parikh) matrix mapping as an extension of the Parikh matrix mapping introduced by Mateescu et al. Like the Parikh matrix, the extension revolves around a certain type of square matrices, but instead of non-negative integers, its matrix-mapped elements are non-negative rationals (fractions). We study the basic properties of the newly defined formalism and later on we investigate the injectivity of the mapping. Also, we begin a search for the reverse mapping – that is a method for obtaining a word, given the S-Parikh matrix.
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