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Cited article:

On semidirect and two-sided semidirect products of finite $\mathcal {J}$trivial monoids

F. Blanchet-Sadri
RAIRO - Theoretical Informatics and Applications 30 (5) 457 (1996)
https://doi.org/10.1051/ita/1996300504571

Equations on the semidirect product of a finite semilattice by a $\mathcal {J}$-trivial monoid of height $k$

F. Blanchet-Sadri
RAIRO - Theoretical Informatics and Applications 29 (3) 157 (1995)
https://doi.org/10.1051/ita/1995290301571