1 citations · 4 across the 7 of their papers we have counts for
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Decompositions of q-Matroids Using Cyclic Flats
Heide Gluesing-Luerssen, Benjamin Jany
We study the direct sum of q-matroids by way of their cyclic flats. Using that the rank function of a q-matroid is fully determined by the cyclic flats and their ranks, we show tha…
Representability of the Direct Sum of -Matroids
Heide Gluesing-Luerssen, Benjamin Jany
While there are many parallels between matroid theory and -matroid theory, most notably on the level of cryptomorphisms, there are substantial differences when it comes to the d…
The Projectivization Matroid of a -Matroid
Benjamin Jany
In this paper, we investigate the relation between a -matroid and its associated matroid called the projectivization matroid. The latter arises by projectivizing the groundspace…
Coproducts in Categories of q-Matroids
Heide Gluesing-Luerssen, Benjamin Jany
q-Matroids form the q-analogue of classical matroids. In this paper we introduce various types of maps between q-matroids. These maps are not necessarily linear, but they map subsp…
Independent Spaces of q-Polymatroids
Heide Gluesing-Luerssen, Benjamin Jany
This paper is devoted to the study of independent spaces of q-polymatroids. With the aid of an auxiliary q-matroid it is shown that the collection of independent spaces satisfies t…