Projective geometries as projective modular lattices-Reference-Cited by-同舟云学术

Projective geometries as projective modular lattices

Published:1979 Issue:0 Volume:251 Page:329-342
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Freese Ralph

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1979-251-00/S0002-9947-1979-0531987-8/S0002-9947-1979-0531987-8.pdf

Reference15 articles.

1. P. Crawley and R. P. Dilworth, Algebraic theory of lattices, Prentice-Hall, Englewood Cliffs, N. J., 1973.

2. Splitting algebras and a weak notion of projectivity;Day, Alan;Algebra Universalis,1975

3. Planar sublattices of 𝐹𝑀(4);Freese, Ralph;Algebra Universalis,1976

4. The variety of modular lattices is not generated by its finite members;Freese, Ralph;Trans. Amer. Math. Soc.,1979

5. Congruence modularity implies the Arguesian identity;Freese, Ralph;Algebra Universalis,1976

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