.

0 (hodnocen0 x )

(3) Půjčeno:3x 

BK

London : Springer, 2001

x,229 s.

ISBN 1-85233-206-9 (váz.)

Springer undergraduate mathematics series

Obsahuje předmluvu, úvod, rejstřík

Bibliografie: s. 223-224

Okruhy (algebra) - učebnice vysokošk.

000042587

Introduction // Remarks on Notation and Ter // inology // Chapter 1 // Basics // The Definitions // Fields and Vector Spaces // Matrices // Modules // The Language of Categories // Chapter 2 // Linear Algebras and Artinian Rings // Linear Algebras // Chain Conditions // Artinian Rings: the Semisimple Case // Artinian Rings: the Radical // The Krull-Schmidt Theorem // Group Representations. Definitions and General Properties // Group Characters // Chapter 3 // Noetherian Rings // Polynomial Rings // The Euclidean Algorithm // Factorization // Principal Ideal Domains // Introduction to Ring Theory // 3.5 Modules over Principal Ideal Domains 125 // 3.6 Algebraic Integers 130 // Chapter 4 Ring Constructions 135 // 4.1 The Direct Product of Rings 135 // 4.2 The Axiom of Choice and Zorn’s Lemma 140 // 4.3 Tensor Products of Modules and Algebras 143 // 4.4 Modules over General Rings 150 // 4.5 Projective Modules 156 // 4.6 Injective Modules 163 // 4.7 Invariant Basis Number and Projective-Free Rings 169 // Chapter 5 // Rings of Fractions // Skew Polynomial Rings // Free Algebras and Tensor Rings // Free Ideal Rings // Outline Solutions 203 // Notations and Symbols 219 // Bibliography 223 // Index 225