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Dimension of certain kernel spaces of linear operators

Author: Zuowei Shen
Journal: Proc. Amer. Math. Soc. 112 (1991), 381-390
MSC: Primary 35E20; Secondary 05B35, 35A30, 47A05
MathSciNet review: 1065091
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Abstract: 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$.

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Keywords: Dimensin of null spaces, matroid structure
Article copyright: © Copyright 1991 American Mathematical Society

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