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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Arithmetik & Algebra The Cohomology of Monoids
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The Cohomology of Monoids
Antonio M. Cegarra, Jonathan Leech (Broschiert, Englisch)
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Beschreibung
This monograph covers topics in the cohomology of monoids up through recent developments. Jonathan Leech’s original monograph in the Memoirs of the American Mathematical Society dates back to 1975. This book is an organized, accessible, and self-contained account of this cohomology that includes more recent significant developments that were previously scattered among various publications, along… with completely new material. It summarizes the original Leech theory and provides a modern and thorough treatment of the cohomological classification of coextensions of both monoids and monoidal groupoids, including the case of monoids with operators. This cohomology is also compared to the classical Eilenberg-Mac Lane and Hochschild-Mitchell cohomologies. Connections are also established with the Lausch-Loganathan cohomology theory for inverse semigroups, the Gabriel-Zisman cohomology of simplicial sets, the Wells cohomology of small categories (also known as Baues-Wirschingcohomology), Grothendieck sheaf cohomology, and finally Beck’s triple cohomology. It also establishes connections with Grillet’s cohomology theory for commutative semigroups. The monograph is aimed at researchers in the theory of monoids, or even semigroups, and its interface with category theory, homological algebra, and related fields. However, it is also written to be accessible to graduate students in mathematics and mathematicians in general. 128,39 €
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Technische Daten
Erscheinungsdatum
14.03.2025
Sprache
Englisch
EAN
9783031502606
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
RSME Springer Series
Sonderedition
Nein
Autor
Antonio M. Cegarra, Jonathan Leech
Seitenanzahl
214
Einbandart
Broschiert
Schlagwörter
Cohomology of Monoids, Cohomology of Small Categories, Coextensions of Monoids, H-Coextensions, Schützenberger Group, Obstructions to Coextensions, Nonabelian Cohomology of Monoids, Monoidal Categories, Monoidal Abelian Groupoids, Monoids with Operators
Thema-Inhalt
PBF - Algebra
PBPD - Algebraische Topologie
PBM - Geometrie
PBP - Topologie
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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