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Fundamentals of semigroup theory
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Inverse semigroups as discussed by the authors are a subclass of regular semigroup classes and can be seen as semigroup amalgamations of semigroup groups, which is a special case of regular semiigroups.Abstract:
1. Introductory ideas 2. Green's equivalences regular semigroups 3. 0-simple semigroups 4. Completely regular semigroups 5. Inverse semigroups 6. Other classes of regular semigroups 7. Free semigroups 8. Semigroup amalgams References List of symbolsread more
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The q-theory of Finite Semigroups
John Rhodes,Benjamin Steinberg +1 more
TL;DR: The q-theory of finite semigroups as mentioned in this paper is a theory that provides a unifying approach to finite semigroup theory via quantization, and it is the only contemporary exposition of the complete theory of the complexity of finite semiigroups.
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Timed Regular Expressions
TL;DR: This article defines timed regular expressions, a formalism for specifying discrete behaviors augmented with timing information, and proves that its expressive power is equivalent to the timed automata of Alur and Dill, the timed analogue of Kleene Theorem.
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Directed Graphs and Combinatorial Properties of Semigroups
Andrei V. Kelarev,Stephen Quinn +1 more
TL;DR: In this paper, a complete description of all commutative semigroups satisfying three other combinatorial properties defined in terms of directed graphs is given, by a graph we mean a directed graph without loops or multiple edges.
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Power graphs: A survey
TL;DR: This article gives a survey of all results on the power graphs of groups and semigroups obtained in the literature.
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Cayley graphs as classifiers for data mining: The influence of asymmetries
TL;DR: This paper proposes a new method of using Cayley graphs for classification of data using the endomorphism monoids of graphs, a convenient tools expressing asymmetries of the graphs.