In this chapter we present those basic notions and results of semigroup theory which are used in this book. This chapter contains further theorems and lemmas. There are several assertions corresponding to different semigroup classes examined in this book whose proofs are similar to each other and based on common ideas. The common parts of these proofs are formulated as theorems and lemmas, and they are presented and proved in this chapter.
KeywordsInverse Semigroup Simple Semigroup Rectangular Band Left Zero Idempotent Element
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