Galois theory, Hopf algebras, and semiabelian categories / George Janelidze, Bodo Pareigis, Walter Tholen, editors.

Format:

Book

Contributor:

Janelidze, G. (George), 1952-

Pareigis, Bodo.

Tholen, W. (Walter), 1947-

Series:

Fields Institute communications ; v. 43.

Fields Institute communications ; v. 43

Language:

English

Subjects (All):

Differential algebra.

Galois theory.

Hopf algebras.

Rings (Algebra).

Genre:

Conference papers and proceedings.

Physical Description:

ix, 570 pages : illustrations ; 27 cm.

Place of Publication:

Providence, R.I. : American Mathematical Society, [2004]

Contents:

Algebraic Cohomology: The Early Days / Michael Barr 1

A Survey of Semi-abelian Categories / Francis Borceux 27

Commutator Theory in Regular Mal'cev Categories / Dominique Bourn 61

Categorical Aspects of Modularity / Dominique Bourn, Marino Gran 77

Crossed Complexes and Homotopy Groupoids as Non Commutative Tools for Higher Dimensional Local-to-global Problems / Ronald Brown 101

Galois Groupoids and Covering Morphisms in Topos Theory / Marta Bunge 131

Galois Corings from the Descent Theory Point of View / Stefaan Caenepeel 163

Quantum Categories, Star Autonomy, and Quantum Groupoids / Brian Day, Ross Street 187

Morphisms of 2-groupoids and Low-dimensional Cohomology of Crossed Modules / John W. Duskin, Rudger W. Kieboom, Enrico M. Vitale 227

Applications of Categorical Galois Theory in Universal Algebra / Marino Gran 243

Fibrations for Abstract Multicategories / Claudio Hermida 281

Lie-Rinehart Algebras, Descent, and Quantization / Johannes Huebschmann 295

A Note on the Semiabelian Variety of Heyting Semilattices / Peter Johnstone 317

Monoidal Functors Generated by Adjunctions, with Applications to Transport of Structure / G. M. Kelly, Stephen Lack 319

On the Cyclic Homology of Hopf Crossed Products / M. Khalkhali, B. Rangipour 341

On Sequentially h-complete Groups / Gabor Lukacs 353

Embeddings of Algebras / John L. MacDonald 359

Universal Covers and Category Theory in Polynomial and Differential Galois Theory / Andy R. Magid 373

Weak Categories in Additive 2-categories with Kernels / N. Martins-Ferreira 387

Dendrotopic Sets / Thorsten Palm 411

On Factorization Systems and Admissible Galois Structures / Ana Helena Roque 463

Hopf-Galois and Bi-Galois Extensions / Peter Schauenburg 469

Extension Theory in Mal'tsev Varieties / Jonathan D. H. Smith 517

On Projective Generators Relative to Coreflective Classes / Lurdes Sousa 523

The Monotone-Light Factorization for Categories via Preorders / Joao J. Xarez 533

Separable Morphisms of Categories via Preordered Sets / Joao J. Xarez 543

Frobenius Algebras in Tensor Categories and Bimodule Extensions / Shigeru Yamagami 551.

Notes:

Includes bibliographical references.

ISBN:

0821832905

OCLC:

55066323