Geodesic
The Translational Hull of a Semilattice of Weakly Reductive Semigroups
Canadian journal of mathematics, Tome 26 (1974) no. 6, pp. 1520-1536

Voir la notice de l'article provenant de la source Cambridge University Press

The translational hull is of central importance in the construction of ideal extensions and the study of densely embedded ideals particularly for weakly reductive semigroups (see [4, Chapter III]). The translational hull of semigroups belonging to a few special classes is known in an explicit form, and for some other classes of semigroups, certain properties of their translational hulls have been established (see [4, Chapter V]). We have generalized in [5] the concept of an inverse limit of groups in order to give a construction of the translational hull of a semigroup which is a semilattice of groups. 
Petrich, Mario. The Translational Hull of a Semilattice of Weakly Reductive Semigroups. Canadian journal of mathematics, Tome 26 (1974) no. 6, pp. 1520-1536. doi: 10.4153/CJM-1974-148-2
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[1] 1. Petrich, Mario, The translational hull in semigroups and rings, Semigroup Forum 1 (1970), 283–360. Google Scholar

[2] 2. Petrich, Mario, On ideals of a semilattice, Czechoslovak Math. J. 22 (97) (1972), 361–367. Google Scholar

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