Dimension of Certain Kernel Spaces of Linear Operators
Zuowei Shen · Proceedings of the American Mathematical Society · 1991
Let $G$ be a semigroup of linear operators on a vector space $S$ into itself with the operation of composition. A subset of $G$ may be associated with a matroid $X$. We discuss the dimension of the kernels of certain linear operators induced in a natural way by the matroid structure on $X$.