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. 
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     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},
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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/

[2] Bakuridze A., “Generated sets of the complete semigroups binary relations defined by semilattices of the class $\Sigma_1(X,2)$”, Int. J. Eng. Sci. Innov. Techn., 5:6 (2016), 17–26

[3] Diasamidze Ya., Givradze O., Bakuridze A., “Generated sets of the complete semigroups binary relations defined by semilattices of the class $\Sigma_2(X,3)$”, Int. J. Eng. Sci. Innov. Techn., 5:6 (2016), 52–69

[4] Diasamidze Ya., Makharadze Sh., Complete Semigroups of Binary Relations, Kriter, Turkey, 2013

[5] Givradze O., Diasamidze Ya., Tsinaridze N., “Generated sets of the complete semigroup binary relations defined by semilattices of the finite chains”, Trans. A. Razmadze Math. Inst., 172:3 (2018), 378–387 | DOI | MR | Zbl