PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 41(55), pp. 6373 (1987) 

INFLATION OF SEMIGROUPSStojan Bogdanovi\'c and Svetozar Mili\'cMatematicki institut SANU, Beograd, YugoslaviaAbstract: 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 (MSC2000): 20M Full text of the article:
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