Geodesic
Generating sets of the complete semigroup of binary relations defined by semilattices of the class $\Sigma_4(X,4)$
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the XVII All-Russian Youth School-Conference «Lobachevsky Readings-2018», November 23-28, 2018, Kazan. Part 2, Tome 176 (2020), pp. 95-120

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In this article, we study generating sets of complete semigroups of binary relations defined by $X$-semilattices of unions of the class $\Sigma_4(X,4)$. We find the unique irreducible generating sets for these semigroups.
Keywords: semilattice of unions, complete semigroup of binary relations, generating set, quasinormal representation of binary relations. 
@article{INTO_2020_176_a9,
     author = {Ya. Diasamidze and N. Tsinaridze and G. Tavdgiridze},
     title = {Generating sets of the complete semigroup of binary relations defined by semilattices of the class $\Sigma_4(X,4)$},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {95--120},
     publisher = {mathdoc},
     volume = {176},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_176_a9/}
}
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Ya. Diasamidze; N. Tsinaridze; G. Tavdgiridze. Generating sets of the complete semigroup of binary relations defined by semilattices of the class $\Sigma_4(X,4)$. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the XVII All-Russian Youth School-Conference «Lobachevsky Readings-2018», November 23-28, 2018, Kazan. Part 2, Tome 176 (2020), pp. 95-120. http://geodesic.mathdoc.fr/item/INTO_2020_176_a9/