Gécseg Ferenc: Algebraic theory of automata - Disquisitiones mathematicae Hungaricae 2. (Budapest, 1972)

F. GÉCSEG and I. PEAK ALGEBRAIC THEORY OF AUTOMATA Here an automaton is considered an algebraic structure of a certain type, and the algebraic theory of discrete, completely defined, deterministic autom­ata is developed in line with other algebraic theories such as those of semigroups, groups or rings. The primary goal of the book is to present an exact and approximately complete development of the algebraic theory. A few concrete situations are discussed in theAppendix to help the reader in attaining an idea of the applicability of the theory. Examples are also added. The book can be used by students, mathematicians and engineers who want to specialize in the theory of automata and by those who want to use the methods and results of the algebraic theory of automata in their own field. AKADÉMIAI KIADÓ PUBLISHING HOUSE OF THE HUNGARIAN ACADEMY OF SCIENCES BUDAPEST

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