Handbook of Algebra: Volume 2
Published on 6. April 2000
Book
Hardback
896 pages
978-0-444-50396-1 (ISBN)
Description
Algebra, as we know it today, consists of many different ideas, concepts and results. A rough estimate of the number of these different "items" would be somewhere between 50,000 and 200,000. Many of them have been named and many more could (and perhaps should) have a "name" or a convenient designation. In addition to primary information, this handbook provides references to relevant articles, books and lecture notes. It will publish articles as they are received and thus the reader will find in this second volume articles from five different sections. The advantages of this scheme are two-fold: accepted articles will be published quickly; and the outline of the Handbook can be allowed to evolve as the various volumes are published. One of the main aims of the Handbook is to provide professional mathematicians with sufficient information for working in areas other than their own specialist fields.
More details
Series
Language
English
Place of publication
United States
Publishing group
Elsevier Science & Technology
Target group
Professional and scholarly
Weight
1780 gr
ISBN-13
978-0-444-50396-1 (9780444503961)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Person
Content
Preface. Outline of the Series. List of Contributors. Section 2A. Category Theory. Some aspects of categories in computer science (P.J. Scott). Algebra, categories, and databases (B. Plotkin). Section 2B. Homological Algebra. Cohomology. Cohomological Methods in Algebra. Homotopical Algebra. Homology for the algebras of analysis (A.Ya. Helemskii). Section 2D. Model Theoretic Algebra. Stable groups (F.O. Wagner). Section 3A. Commutative Rings and Algebras. Artin approximation (D. Popescu). Section 3B. Associative Rings and Algebras. Fixed rings and noncommutative invariant theory (V.K. Kharchenko). Modules with distributive submodule lattice (A.A. Tuganbaev). Serial and semidistributive modules and rings (A.A. Tuganbaev). Modules with the exchange property and exchange rings (A.A. Tuganbaev). Separable algebras (F. Van Oystaeyen). Section 3D. Deformation Theory of Rings and Algebras. Varieties of Lie algebra laws (Yu. Khakimdjanov). Section 4D. Varieties of Algebras, Groups, ... Varieties of algebras (V.A. Artamonov). Section 4E. Lie Algebras. Infinite-dimensional Lie superalgebras (Yu. Bahturin, A. Mikhalev, M. Zaicev). Nilpotent and solvable Lie algebras (M. Goze, Yu. Khakimdjanov). Section 5A. Groups and Semigroups. Infinite Abelian groups: Methods and results (A.V. Mikhalev, A.P. Mishina). Section 6C. Representation Theory of 'Continuous Groups' (Linear Algebraic Groups, Lie groups, Loop Groups, ...) and the Corresponding Algebras. Infinite-dimensional representations of the quantum algebras (A.U. Klimyk). Section 6D. Abstract and Functorial Representation Theory. Burnside rings (S. Bouc). A guide to Mackey Functors (P. Webb). Subject Index.