Geodesic
A Characterization of Modularity forCongruence Lattices of Algebras*
Canadian mathematical bulletin, Tome 12 (1969) no. 2, pp. 167-173

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Let us call an equational class (variety) K of algebras permutable if and only if every pair of congruences on each K-algebra is permutable. Similarly, we will call K modular (distributive) if the congruence lattice of each K-algebra is modular (distributive). 
Day, Alan. A Characterization of Modularity forCongruence Lattices of Algebras*. Canadian mathematical bulletin, Tome 12 (1969) no. 2, pp. 167-173. doi: 10.4153/CMB-1969-016-6
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     author = {Day, Alan},
     title = {A {Characterization} of {Modularity} {forCongruence} {Lattices} of {Algebras*}},
     journal = {Canadian mathematical bulletin},
     pages = {167--173},
     year = {1969},
     volume = {12},
     number = {2},
     doi = {10.4153/CMB-1969-016-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-016-6/}
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