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- W4205098380 abstract "In the theory of classical matroids, there are several known equivalent axiomatic systems that define a matroid, which are described as matroid cryptomorphisms. A q-matroid is a q-analogue of a matroid where subspaces play the role of the subsets in the classical theory. In this article we establish cryptomorphisms of q-matroids. In doing so we highlight the difference between classical theory and its q-analogue. We introduce a comprehensive set of q-matroid axiom systems and show cryptomorphisms between them and existing axiom systems of a q-matroid. These axioms are described as the rank, closure, basis, independence, dependence, circuit, hyperplane, flat, open space, spanning space, non-spanning space, and bi-colouring axioms." @default.
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- W4205098380 date "2022-03-01" @default.
- W4205098380 modified "2023-10-18" @default.
- W4205098380 title "Constructions of new q-cryptomorphisms" @default.
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- W4205098380 doi "https://doi.org/10.1016/j.jctb.2021.12.001" @default.
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