PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 41(55), pp. 63--73 (1987)
INFLATION OF SEMIGROUPS
Stojan Bogdanovi\'c and Svetozar Mili\'cMatematicki institut SANU, Beograd, Yugoslavia
Abstract: We introduce the concept of an $n$-inflation of a semigroup. In particular, for $n=1$ we obtain the inflation introduced by Clifford , and for $n=2$ the strong inflation introduced by Petrich . 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
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