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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Projective geometries as projective modular lattices


Author: Ralph Freese
Journal: Trans. Amer. Math. Soc. 251 (1979), 329-342
MSC: Primary 06C10; Secondary 05B25
MathSciNet review: 531987
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Abstract: It is shown that the lattice of subspaces of a finite dimensional vector space over a finite prime field is projective in the class of modular lattices provided the dimension is at least 4.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1979-0531987-8
PII: S 0002-9947(1979)0531987-8
Article copyright: © Copyright 1979 American Mathematical Society