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Proceedings of the American Mathematical Society

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

 

 

Reflexive lattices of subspaces


Authors: K. H. Kim and F. W. Roush
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
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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.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1980-0548075-0
Keywords: Lattices of subspaces, distributive lattice, invariant subspaces, transformations, infinite field
Article copyright: © Copyright 1980 American Mathematical Society