Congruence lattices of complemented modular lattices
Copyright policy )Congruence lattices of complemented modular lattices
The main result asserts: for every finite distributive lattice D there exists a complemented modular lattice K such that the congruence lattice of K is isomorphic to D and K is a sublattice of the lattice of all subspaces of a countably infinite dimensional vector space over the two element field. There are some remarks on representations of infinite distributive lattices.
- Hungarian Academy of Sciences Hungary
finite distributive lattice, complemented modular lattice, Lattice ideals, congruence relations, representations of infinite distributive lattices, Complemented modular lattices, continuous geometries, Structure and representation theory of distributive lattices, congruence lattice
finite distributive lattice, complemented modular lattice, Lattice ideals, congruence relations, representations of infinite distributive lattices, Complemented modular lattices, continuous geometries, Structure and representation theory of distributive lattices, congruence lattice
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