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This report rresents the topics of the Seminar held in Lecce by prof. J. Szép. The purpose of the Seminar was to introduce

the participants to the study of Semigroup Theory, and at the same tirne to provide some hints for research. In part I, after some de- finitions, the prblems of partitions and classification of semigroup are examined. The subject of part.II is a theorem on structure of

algebras with two operations; moreover some research problems are

suggested. Finally part III r,ives an introduction to the Theory of

automata, with various examples.

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