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Monoid
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12N46Q3NNA1
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Geliefert zwischen Mo., 02.02.2026 und Di., 03.02.2026
Details
In abstract algebra, a branch of mathematics, a monoid is an algebraic structure with a single associative binary operation and an identity element. Monoids are studied in semigroup theory as they are naturally semigroups with identity. Monoids occur in a number of branches of mathematics and capture the idea of function composition; indeed, this notion is abstracted in category theory, where the monoid is a category with one object. Monoids are also commonly used to provide an algebraic foundation for computer science; in this case, the transition monoid and syntactic monoid are used in describing a finite state machine, whereas trace monoids and history monoids provide a foundation for process calculi and concurrent computing. Some of the more important results in the study of monoids are the Krohn-Rhodes theorem and the star height problem. The history of monoids, as well as a discussion of additional general properties, are found in the article on semigroups.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786130237653
- Editor Frederic P. Miller, Agnes F. Vandome, John McBrewster
- Sprache Englisch
- Größe H220mm x B150mm x T6mm
- Jahr 2009
- EAN 9786130237653
- Format Fachbuch
- ISBN 978-613-0-23765-3
- Titel Monoid
- Untertitel Semigroup action, Abstract algebra, Mathematics, Algebraic structure, Associativity, Semigroup, Function composition, Category theory, Category (mathematics), Computer science, Semiautomaton
- Gewicht 177g
- Herausgeber Alphascript Publishing
- Anzahl Seiten 108
- Genre Mathematik
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