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math.CO2021★ 1 cited
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…
math.CO2021
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…
cs.IT2021
q-Polymatroids and Their Relation to Rank-Metric Codes
Heide Gluesing-Luerssen, Benjamin Jany
It is well known that linear rank-metric codes give rise to q-polymatroids. Analogously to matroid theory one may ask whether a given q-polymatroid is representable by a rank-metri…