Geodesic
Finite nilsemigroups with modular congruence lattices
Ural mathematical journal, Tome 3 (2017) no. 1, pp. 52-67 Cet article a éte moissonné depuis la source Math-Net.Ru

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This paper continues the joint work [2] of the author with P. Jones. We describe all finitely generated nilsemigroups with modular congruence lattices: there are 91 countable series of such semigroups. For finitely generated nilsemigroups a simple algorithmic test to the congruence modularity is obtained.
Keywords: Semigroup, Nilsemigroup, Congruence lattice. 
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Alexander L. Popovich. Finite nilsemigroups with modular congruence lattices. Ural mathematical journal, Tome 3 (2017) no. 1, pp. 52-67. http://geodesic.mathdoc.fr/item/UMJ_2017_3_1_a4/

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[2] Popovich A.L., Jones P.R., “On congruence lattices of nilsemigroups”, Semigroup Forum, 2016, 1–7 | DOI

[3] Schein B.M., “Commutative semigroups where congruences form a chain”, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys., 17 (1969), 523–527 | MR | Zbl

[4] Tamura T., “Commutative semigroups whose lattice of congruences is a chain”, Bull. Soc. Math. France, 97 (1969), 369–380 | DOI | MR | Zbl