Geodesic
Commutative semigroups with lattice of subsemigroups satisfies a nontrivial identity
Sbornik. Mathematics, Tome 65 (1990) no. 2, pp. 465-485 
V. B. Repnitskii; S. I. Katsman. Commutative semigroups with lattice of subsemigroups satisfies a nontrivial identity. Sbornik. Mathematics, Tome 65 (1990) no. 2, pp. 465-485. http://geodesic.mathdoc.fr/item/SM_1990_65_2_a9/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A description of commutative semigroups whose lattice of subsemigroups satisfies a nontrivial identity is obtained. In particular, an affirmative answer is given to a question of L. N. Shevrin on periodicity of an arbitrary semigroup whose lattice of subsemigroups satisfies a nontrivial identity. As a corollary of the technique developed herein a number of lattice-theoretic facts (known, as well as new) are also obtained. Figures: 1. Bibliography: 11 titles.

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[10] Skornyakov L. A., Elementy teorii struktur, Nauka, M., 1982 | MR

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