EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 41(55), pp. 63--73 (1987)

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INFLATION OF SEMIGROUPS

Stojan Bogdanovi\'c and Svetozar Mili\'c

Matematicki 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 [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

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Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
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