Geodesic
Inflation of Semigroups
Publications de l'Institut Mathématique, _N_S_41 (1987) no. 55, p. 63

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We introduce the concept of an $n$-inflation of a semigroup. In particular, for $n=1$ we obtain the inflation introduced by Clifford [6], and for $n=2$ the strong inflation introduced by Petrich [10]. We also characterize $n$-inflations of unions of groups, of semilattices of groups of unions of periodic groups, etc. In addition, we describe nilpotent semigroups of arbitrary nilpotency class.
Classification : 20M 
@article{PIM_1987_N_S_41_55_a7,
     author = {Stojan Bogdanovi\'c and Svetozar Mili\'c},
     title = {Inflation of {Semigroups}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {63 },
     publisher = {mathdoc},
     volume = {_N_S_41},
     number = {55},
     year = {1987},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1987_N_S_41_55_a7/}
}
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Stojan Bogdanović; Svetozar Milić. Inflation of Semigroups. Publications de l'Institut Mathématique, _N_S_41 (1987) no. 55, p. 63 . http://geodesic.mathdoc.fr/item/PIM_1987_N_S_41_55_a7/