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Record Nr. |
UNINA9910788652803321 |
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Titolo |
Algebra, K-theory, groups, and education : on the occasion of Hyman Bass's 65th birthday / / T.Y. Lam, A.R. Magid, editors |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [1999] |
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©1999 |
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ISBN |
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0-8218-7833-6 |
0-8218-5579-4 |
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Descrizione fisica |
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1 online resource (250 p.) |
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Collana |
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Contemporary mathematics, , 0271-4132 ; ; 243 |
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Disciplina |
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Soggetti |
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Algebra |
K-theory |
Group theory |
Mathematics - Study and teaching |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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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 |
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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. |
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