Geodesic
Structure of Semigroups
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 449-491

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

The treatment of semigroups given in a previous paper (3) is based upon representations of a semigroup by means of transformations of a set (cf. also 12). In this paper we try to remove the assumption of the existence of a zero element proposed in (3). In accordance with our general programme explained at the beginning of (3) we utilize certain minimum conditions in order to gain more information on the structure of semigroups.Our main results are structure theorems on primitive semigroups which have irreducible right ideals generated by idempotents (§§15-17). As we have shown in (5), these theorems permit the explicit construction of primitive semigroups. 
Hoehnke, Hans-Jürgen. Structure of Semigroups. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 449-491. doi: 10.4153/CJM-1966-048-1
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