Nine Chapters on the Semigroup Art
Lecture notes for a tour through semigroups
Porto & Lisbon, 2012–25
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These lecture notes are for a course consisting of a tour through selected areas of semigroup theory. There are
essentially three parts:
- Chapters 1–3 study general semigroups, including presentations for semigroups and basic structure theory.
- Chapters 4–6 examine special classes: namely regular, inverse, and commutative semigroups.
- Chapters 7–9 study finite semigroups, their classification using pseudovarieties, and connections with the theory of automata and regular languages.