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Book Categories |
Preface | ||
0 | Introduction | 1 |
1 | Modern and Post-Modern Algebra | 1 |
2 | Algebra: The Central Discipline of Mathematics | 1 |
3 | Sets with Structure and Sets without Structure | 3 |
4 | Semigroups and Monoids | 17 |
I | Groups and Quasigroups | 29 |
1 | Monoid Actions | 29 |
2 | Groups and Quasigroups | 51 |
3 | Symmetry | 72 |
4 | Loops, Nets and Isotopy | 86 |
II | Linear Algebra | 111 |
1 | General Algebra and Linear Algebra | 111 |
2 | Vector Spaces and Modules | 129 |
3 | Commutative Algebra | 158 |
III | Categories and Lattices | 191 |
1 | Posets, Monoids and Categories | 191 |
2 | Limits and Lattices | 213 |
3 | Adjoint Functors | 244 |
IV | Universal Algebra | 281 |
1 | Sets with Operations | 281 |
2 | Varieties | 303 |
3 | Algebraic Theories | 323 |
4 | Monads | 346 |
Index | 359 |
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