On congruences in closed post classes
Matematičeskie zametki, Tome 13 (1973) no. 5, pp. 725-734.

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It is shown herein that on almost all closed Post classes only trivial congruences are possible. Closed Post classes having nontrivial congruences are indicated, and all congruences of these classes are described. For kge3 closed classes having an infinity of congruences are indicated.
@article{MZM_1973_13_5_a11,
     author = {V. V. Gorlov},
     title = {On congruences in closed post classes},
     journal = {Matemati\v{c}eskie zametki},
     pages = {725--734},
     publisher = {mathdoc},
     volume = {13},
     number = {5},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_5_a11/}
}
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V. V. Gorlov. On congruences in closed post classes. Matematičeskie zametki, Tome 13 (1973) no. 5, pp. 725-734. http://geodesic.mathdoc.fr/item/MZM_1973_13_5_a11/