9. Modular and Semimodular Lattices

  title={9. Modular and Semimodular Lattices},
  author={Bob Dylan}
  • Bob Dylan
To dance beneath the diamond sky with one hand waving free ... The modular law was invented by Dedekind to reflect a crucial property of the lattice of subgroups of an abelian group, or more generally the lattice of normal subgroups of a group. In this chapter on modular lattices you will see the lattice theoretic versions of some familiar theorems from group theory. This will lead us naturally to consider semimodular lattices. Likewise, the lattice of submodules of a module over a ring is… CONTINUE READING
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Publications referenced by this paper.
Showing 1-3 of 3 references

Lattice varieties covering the smallest nonmodular variety

  • I. Rival
  • Pacific J . Math .
  • 1968

Proof of a conjecture on finite modular lattices

  • R. P. Dilworth
  • Ann . of Math .
  • 1968

Nation , A counterexample to the finite height conjecture

  • B. J.

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