Algebra, K-Theory, Groups, and Education : On the Occasion of Hyman Bass's 65th Birthday.

Intro -- 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 -- 0. 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.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.