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Preface
1£®What is Algebra£¿
2£®Fields
3£®Commutative Rings
4£®Homomorphisms and Ideals
5£®Modules
6£®Algebraic Aspects of Dimension
7£®The Algebraic View of Infinitesimal Notions
8£®Noncommutative Rings
9£®Modules over Noncommutative Rings
10£®Semisimple Modules and Rings
11£®DivisioAlgebras of Finite Rank
12£®The Notioof a Group
13£®Examples of Groups£º Finite Groups
14£®Examples of Groups£º Infinite Discrete Groups
15£®Examples of Groups£º Lie Groups and Algebraic Groups
16£®General Results of Group Theory
17£®Group Representations
A£®Representations of Finite Groups
B£®Representations of Compact Lie Groups
18£®Some Applications of Groups
A£®Galois Theory
B£®The Galois Theory of Linear Differential Equations £¨Picard Vessiot Theory£©
C£®Classificatioof Unramified Covers
D£®Invariant Theory
E£®Group Representations and the Classificatioof Elementary Particles
19£®Lie Algebras and Nonassociative Algebra
A£®Lie Algebras
B£®Lie Theory
C£®Applications of Lie Algebras
D£®Other Nonassociative Algebras
20£®Categories
21£®Homological Algebra
A£®Topological Origins of the Notions of Homological Algebra
B£®Cohomology of Modules and Groups
C£®Sheaf Cohomology
22£®K¡ªtheory
A£®Topological K¡ªtheory
B£®Algebraic K¡ªtheory
Comments othe Literature
References
Index of Names
Subject Index