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On finitely generated simple modular lattices

✍ Scribed by E. T. Schmidt

Publisher: Springer Netherlands
Year: 1975
Tongue: English
Weight: 171 KB
Volume: 6
Category: Article
ISSN: 0031-5303
DOI: 10.1007/bf02018273

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## Abstract We give a lattice‐theoretic characterization of the lattices of Mackey closed subspaces in a vector space __V__ (dim __V__ ≧ 4): These are exactly complete finitely‐modular AC‐lattices of the length at least four which have mutually perspective atoms.