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Algebra

Overview of attention for book
Cover of 'Algebra'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction to Volume I
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    Chapter 2 Foreword on Set Theory
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    Chapter 3 Operations: Monoid, Semigroup, Group, and Category
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    Chapter 4 Product and Coproduct
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    Chapter 5 Ring and Module
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    Chapter 6 Correspondence Theorems for Projective Modules and the Structure of Simple Noetherian Rings
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    Chapter 7 Limits, Adjoints, and Algebras
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    Chapter 8 Abelian Categories
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    Chapter 9 General Wedderburn Theorems
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    Chapter 10 Semisimple Modules and Homological Dimension
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    Chapter 11 Noetherian Semiprime Rings
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    Chapter 12 Orders in Semilocal Matrix Rings
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    Chapter 13 Tensor Products and Flat Modules
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    Chapter 14 Morita Theorems and the Picard Group
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    Chapter 15 Algebras over Fields
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    Chapter 16 Grothendieck Categories
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    Chapter 17 Quotient Categories and Localizing Functors
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    Chapter 18 Torsion Theories, Radicals, and Idempotent, Topologizing, and Multiplicative Sets
Attention for Chapter 12: Orders in Semilocal Matrix Rings
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