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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Dimension of certain kernel spaces of linear operators
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by Zuowei Shen PDF
Proc. Amer. Math. Soc. 112 (1991), 381-390 Request permission

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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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 112 (1991), 381-390
  • MSC: Primary 35E20; Secondary 05B35, 35A30, 47A05
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1065091-0
  • MathSciNet review: 1065091