Monoids, Acts, and Categories: With Applications to Wreath Products and Graphs : a Handbook for Students and ResearchersWalter 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 Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) |
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 |
483 | |
483 | 512 |
Index of symbols 517 Index | 517 |
397 | 398 |