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A Representation of Finitely‐Modular AC‐lattices
Author(s) -
Hamhalter Jan
Publication year - 1990
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19901470126
Subject(s) - mathematics , linear subspace , modular design , lattice (music) , pure mathematics , finitely generated abelian group , representation (politics) , discrete mathematics , algebra over a field , combinatorics , computer science , physics , politics , acoustics , political science , law , operating system
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.