Dimension of Certain Kernel Spaces of Linear Operators

Zuowei Shen
1991 Proceedings of the American Mathematical Society  
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 .
doi:10.2307/2048730 fatcat:joyo7orktbdobc3mzulmupmzxy