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Galois Theory, Hopf Algebras, and Semiabelian Categories
About this Title
George Janelidze, Razmadze Mathematical Institute of the Georgian Academy of Sciences, Tbilisi, Republic of Georgia, Bodo Pareigis, University of Munich, Munich, Germany and Walter Tholen, York University, Toronto, ON, Canada, Editors
Publication: Fields Institute Communications
Publication Year:
2004; Volume 43
ISBNs: 978-0-8218-3290-5 (print); 978-1-4704-3077-1 (online)
DOI: https://doi.org/10.1090/fic/043
MathSciNet review: MR2072674
MSC: Primary 00B25; Secondary 16-06, 18-06
ReadershipTable of Contents
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Front/Back Matter
Chapters
- Michael Barr – Algebraic cohomology: The early days
- Francis Borceux – A survey of semi-abelian categories
- Dominique Bourn – Commutator theory in regular Mal’cev categories
- Dominique Bourn and Marino Gran – Categorical aspects of modularity
- Ronald Brown – Crossed complexes and homotopy groupoids as non commutative tools for higher dimensional local-to-global problems
- Marta Bunge – Galois groupoids and covering morphisms in topos theory
- S. Caenepeel – Galois corings from the descent theory point of view
- Brian Day and Ross Street – Quantum categories, star autonomy, and quantum groupoids
- John Duskin, Rudger Kieboom and Enrico Vitale – Morphisms of 2-groupoids and low-dimensional cohomology of crossed modules
- Marino Gran – Applications of categorical Galois theory in universal algebra
- Claudio Hermida – Fibrations for abstract multicategories
- Johannes Huebschmann – Lie-Rinehart algebras, descent, and quantization
- Peter Johnstone – A note on the semiabelian variety of Heyting semilattices
- G. Kelly and Stephen Lack – Monoidal functors generated by adjunctions, with applications to transport of structure
- M. Khalkhali and B. Rangipour – On the cyclic homology of Hopf crossed products
- Gábor Lukács – On sequentially $h$-complete groups
- John MacDonald – Embeddings of algebras
- Andy Magid – Universal covers and category theory in polynomial and differential Galois theory
- N. Martins-Ferreira – Weak categories in additive 2-categories with kernels
- Thorsten Palm – Dendrotopic sets
- Ana Roque – On factorization systems and admissible Galois structures
- Peter Schauenburg – Hopf-Galois and bi-Galois extensions
- Jonathan Smith – Extension theory in Mal’tsev varieties
- Lurdes Sousa – On projective generators relative to coreflective classes
- João Xarez – The monotone-light factorization for categories via preorders
- João Xarez – Separable morphisms of categories via preordered sets
- Shigeru Yamagami – Frobenius algebras in tensor categories and bimodule extensions