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Book Categories |
Preface | ||
Ch. I | Nonassociative Algebras | 1 |
1 | Definitions and basic results | 2 |
2 | Simple and central simple algebras | 9 |
3 | Alternative algebras | 13 |
4 | Malcev-admissible algebras | 21 |
5 | Jordan-admissible algebras | 40 |
Ch. II | Mutations of Associative Algebras | 51 |
2 | Identities in mutation algebras | 58 |
3 | Simple and prime mutation algebras | 66 |
4 | Mutations of simple associative algebras | 76 |
5 | Radicals of mutation algebras | 85 |
Ch. III | Mutations of Alternative Algebras | 92 |
2 | Basic results | 96 |
3 | Identities | 103 |
4 | Mutations of Cayley-Dickson algebras | 109 |
5 | Simple and prime mutations of alternative algebras | 125 |
6 | Mutations of artinian alternative algebras | 130 |
Ch. IV | Automorphisms and Derivations | 136 |
2 | Jordan homomorphisms and derivations | 142 |
3 | Automorphisms of mutations of associative algebras | 147 |
4 | Derivations of mutations of associative algebras | 159 |
5 | Composition algebras: The associative case | 163 |
6 | Composition algebras: The octonion case | 173 |
Ch. V | The Mutation Variety and Strict Representations | 182 |
1 | Basic concepts | 183 |
2 | Identities for the mutation variety | 187 |
3 | Additional properties of the mutation variety | 198 |
4 | Strict representations of mutation algebras | 201 |
References | 211 | |
Symbol Index | 219 | |
Subject Index | 223 |
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