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Algebra, K-theory, groups, and education : on the occasion of Hyman Bass's 65th birthday / T.Y. Lam, A.R. Magid, editors.
- Format:
- Book
- Series:
- Contemporary mathematics (American Mathematical Society). 0271-4132 243
- Contemporary mathematics, 0271-4132 ; 243
- Language:
- English
- Subjects (All):
- Algebra--Congresses.
- Algebra.
- K-theory--Congresses.
- K-theory.
- Group theory--Congresses.
- Group theory.
- Mathematics--Study and teaching--Congresses.
- Mathematics.
- Physical Description:
- 1 online resource (250 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [1999]
- Language Note:
- English
- Summary:
- This volume includes expositions of key developments over the past four decades in commutative and non-commutative algebra, algebraic $K$-theory, infinite group theory, and applications of algebra to topology. Many of the articles are based on lectures given at a conference at Columbia University honoring the 65th birthday of Hyman Bass. Important topics related to Bass's mathematical interests are surveyed by leading experts in the field. Of particular note is a professional autobiography of Professor Bass, and an article by Deborah Ball on mathematical education. The range of subjects covered in the book offers a convenient single source for topics in the field.
- Contents:
- Contents
- Preface
- Program talks
- On the occasion of the 65th birthday of Hyman Bass
- A professional autobiography
- Crossing boundaries to examine the mathematics entailed in elementary teaching
- Bass's work on the Jacobian conjecture
- Torsion in genus class groups
- Hyman Bass and ubiquity: Gorenstein rings
- Introduction
- Plane Curves
- Commutative Algebra circa 1960
- Gorenstein Rings
- Examples and Low Codimension
- Injective Modules and Matlis Duality
- Ubiquity
- Homological Themes
- Inverse Powers and O-dimensional Gorenstein Rings
- Hilbert Functions
- Invariants and Gorenstein Rings
- Ubiquity and Module Theory
- Bibliography
- A salute to Euler and Dickson on the occasion of Hy's 65th birthday
- Bass's work in ring theory and projective modules
- Â0. Introduction
- Part I: Projective (and Torsionfree) Modules
- 1. Big Projectives
- 2. Stable Structure of Projective Modules
- 3. Work Related to Serre's Conjecture
- 4. Rings with Binary Generated Ideals: Bass Rings
- Part II: Ring Theory
- 5. Semiperfect Rings as Generalizations of Semiprimary Rings
- 6. Perfect Rings and Restricted DCC
- 7. Perfect Rings and Representation Theory
- 8. Stable Range of Rings
- 9. Rings of Stable Range One
- References
- One for almost all: generation of SL(n,p) by subsets of SL(n, Z)
- Deformations of representations
- Trees, lattices and commensurators
- A survey of obstruction theory for projective modules of top rank
- The congruence subgroup problem
- Three-manifold topology and the tree for PSL2: the Smith conjecture and beyond
- The development of algebraic K-theory before 1980.
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-7833-6
- 0-8218-5579-4
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