Geodesic
The description of zero divisors in monoid of semigroup varieties under wreath product
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 8, pp. 223-231 
A. V. Tishchenko. The description of zero divisors in monoid of semigroup varieties under wreath product. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 8, pp. 223-231. http://geodesic.mathdoc.fr/item/FPM_2006_12_8_a12/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It follows from the author's results published in 1999 that the wreath product of any two overcommutative semigroup varieties coincides with the variety S of all semigroups and S is the zero of the monoid MV of all semigroup varieties under the wreath product of varieties. In this paper, we give a full description of all cases under which the wreath product of two semigroup varieties equals S.

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