Algebra, $K$-Theory, Groups, and Education: On the Occasion of Hyman Bass's 65th BirthdayAmerican Mathematical Soc., 1999 - 238 עמודים 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. |
תוכן
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Crossing boundaries to examine the mathematics entailed in elementary teaching | 15 |
Basss work on the Jacobian conjecture | 37 |
Torsion in genus class groups | 47 |
Gorenstein rings | 55 |
A salute to Euler and Dickson on the occasion of Hys 65th birthday | 79 |
Basss work in ring theory and projective modules | 83 |
generation of SLnp by subsets of SLn Z | 125 |
Deformations of representations | 129 |
Trees lattices and commensurators | 145 |
A survey of obstruction theory for projective modules of top rank | 153 |
The congruence subgroup problem | 175 |
the Smith conjecture and beyond | 189 |
The development of algebraic Ktheory before 1980 | 211 |
מהדורות אחרות - הצג הכל
מונחים וביטויים נפוצים
3-manifold A-module of rank abelian group algebraic groups algebraic K-theory algebraically closed field Amer arithmetic artinian automorphisms Bass's Cohen-Macaulay commutative ring complete intersection complete intersection ideal condition congruence subgroup congruence subgroup problem construction contains Corollary curve cyclic defined definition denote dimension direct sum direct summand elementary elements endomorphism ring equivalent essential surface Euler class Euler class group example finite geometry Gorenstein rings Grothendieck hence homological homomorphism homotopy Hyman Bass hyperbolic ideal of height injective integers inverse irreducible isomorphism Jacobian Conjecture left perfect left R-module Lemma Lubotzky Math mathematics maximal ideal noetherian ring noncommutative nontrivial nonzero number field paper perfect rings polynomial map projective modules proof proved quotient R-module regular local ring ring theory Rn(T semiperfect rings semisimple Serre Serre's Conjecture showed stable range structure submodule surjective teachers teaching Theorem topology torsion tree lattices trivial vector bundles