CONTENTS Introduction............................................................................................................................................................................. 5 Some relevant history.................................................................................................................................................. 6 Chapter 1 1. Left zero subsemigroupe of topological semigroups..................................................................... 8 2. Left zero subsemigroups of S(Z)......................................................................................................... 11 3. Some natural homomorphisms.......................................................................................................... 14 4. Embedding S (X) into a full transformation semigroup.......................................................... 18 Chapter 2 1. A theorem on T-embeddings............................................................................................................... 25 2. Some results on algebraic embeddings........................................................................................... 27 3. Embeddings which are induced by an idempotent and a homeomorphism............................... 33 4. Entire isomorphisms............................................................................................................................... 37 References............................................................................................................................................................................... 42
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