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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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Reflexive lattices of subspaces
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by K. H. Kim and F. W. Roush PDF
Proc. Amer. Math. Soc. 78 (1980), 17-18 Request permission

Abstract:

A lattice of subspaces of a vector space is called reflexive if no other subspace is invariant under all linear mappings which leave invariant all subspaces of the lattice. We characterize finite reflexive lattices of subspaces of a finite dimensional vector space over an infinite field.
References
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 78 (1980), 17-18
  • MSC: Primary 15A03; Secondary 06B99, 15A04
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0548075-0
  • MathSciNet review: 548075