In this paper we develop the theory of cyclic flats of q -matroids. We show that the cyclic flats, together with their ranks, uniquely determine a q -matroid and hence derive a new q -cryptomorphism. We introduce the notion of Fqᵐ F q m -independence of an Fq F q -subspace of Fqⁿ F q n and we show that q -matroids generalize this concept, in the same way that matroids generalize the notion of linear independence of vectors over a given field.
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Alfarano et al. (2024) studied this question.