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Monoids, Acts and Categories with Applications to Wreath Products and Graphs (Expositions in Mathematics, Vol. 29) (De Gruyter Expositions in Mathematics) | |||||
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Rok: 2000 AnotaceThis book is the first monograph on representation theory of monoids and non-additive homological algebra, interpreted as the interplay between monoids and their categories of acts. It serves as a handbook for students and researchers working with mono ids, acts, (partial) transformations, congruencies, and non-abelian categories. Parts can be used as a textbook for various graduate courses on these topics. The book gives a solid background for semi-group theory and automata, formal languages and other applications of semi-groups. Many of the results are also applied to wreath products and several generalizations introduced here, and to graphs and their endomorphisms. The text is addressed to algebraists and should also prove useful to readers working in theoretical computer science, combinatorics, graph theory, and category theory. Dostupné zdroje
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