Monoids, Acts, and Categories: With Applications to Wreath Products and Graphs : a Handbook for Students and Researchers

Couverture
Walter de Gruyter, 2000 - 529 pages

The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics.

The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject.

Editorial Board

Lev Birbrair, Universidade Federal do Cear , Fortaleza, Brasil
Walter D. Neumann, Columbia University, New York, USA
Markus J. Pflaum, University of Colorado, Boulder, USA
Dierk Schleicher, Jacobs University, Bremen, Germany
Katrin Wendland, University of Freiburg, Germany

Honorary Editor

Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia

Titles in planning include

Yuri A. Bahturin, Identical Relations in Lie Algebras (2019)
Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019)
Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019)
Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021)
Ioannis Diamantis, Bostjan Gabrovsek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

 

Table des matières

Constructions
14
Products and coproducts
103
Free objects and generators
138
6
157
Classes of acts
183
Principal weak injectivity
207
2
394
Equivalence and Duality Adjoint functors Categories equivalent to Act
397
3
427
Morita equivalence of monoids 437 4
437
Endomorphism monoids of generators
455
On Morita duality
467
Bibliography
483
483
512
Index of symbols 517 Index
517
Droits d'auteur

397
398

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