Geodesic
On duality of submodule lattices
Discussiones Mathematicae. General Algebra and Applications, Tome 20 (2000) no. 1, pp. 43-49

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An elementary proof is given for Hutchinson's duality theorem, which states that if a lattice identity λ holds in all submodule lattices of modules over a ring R with unit element then so does the dual of λ.
Keywords: submodule lattice, lattice identity, duality 
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Czédli, Gábor; Takách, Géza. On duality of submodule lattices. Discussiones Mathematicae. General Algebra and Applications, Tome 20 (2000) no. 1, pp. 43-49. http://geodesic.mathdoc.fr/item/DMGAA_2000_20_1_a3/