1.

Record Nr.

UNINA9910480881203321

Titolo

Algebra, K-theory, groups, and education : on the occasion of Hyman Bass's 65th birthday / / T.Y. Lam, A.R. Magid, editors

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [1999]

©1999

ISBN

0-8218-7833-6

0-8218-5579-4

Descrizione fisica

1 online resource (250 p.)

Collana

Contemporary mathematics, , 0271-4132 ; ; 243

Disciplina

512

Soggetti

Algebra

K-theory

Group theory

Mathematics - Study and teaching

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""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""; ""Â1. Big Projectives""; ""Â2. Stable Structure of Projective Modules""; ""Â3. Work Related to Serre's Conjecture""; ""Â4. Rings with Binary Generated Ideals: Bass Rings""; ""Part II: Ring Theory""



""Â5. Semiperfect Rings as Generalizations of Semiprimary Rings""""Â6. Perfect Rings and Restricted DCC""; ""Â 7. Perfect Rings and Representation Theory""; ""Â8. Stable Range of Rings""; ""Â9. 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""