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7. Idempotent-transfer. Residue class rings of principal ideal domains
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Chapters in this book
- Frontmatter i
- Contents vii
- Authors' preface xi
- Translator's preface xiii
- Summary of contents xv
- Introduction 1
-
Part 1. Cyclic classes and cyclic mappings
- 1. Cyclic classes of n-gons 13
- 2. Cyclic mappings of n-gons 32
- 3. Isobaric cyclic mappings 51
- 4. Averaging mappings 60
-
PART II. The main theorem
- 5. Idempotent elements and Boolean algebras 69
- 6. The main theorem about cyclic classes 81
-
PART III. Boolean algebras of n-gonal theory
- 7. Idempotent-transfer. Residue class rings of principal ideal domains 93
- 8. Boolean algebras of the n-gonal theory I 104
- 9. Boolean algebras of the n-gonal theory II 116
-
PART IV. Atomic decompositions
- 10. Rational components of an n-gon 131
- 11. Complex components of an n-gon 141
- 12. The real components of an n-gon 149
-
Appendices
- 1. Lattices 167
- 2. Cyclotomic polynomials 179
- List of symbols and notations 187
- Index 189
Chapters in this book
- Frontmatter i
- Contents vii
- Authors' preface xi
- Translator's preface xiii
- Summary of contents xv
- Introduction 1
-
Part 1. Cyclic classes and cyclic mappings
- 1. Cyclic classes of n-gons 13
- 2. Cyclic mappings of n-gons 32
- 3. Isobaric cyclic mappings 51
- 4. Averaging mappings 60
-
PART II. The main theorem
- 5. Idempotent elements and Boolean algebras 69
- 6. The main theorem about cyclic classes 81
-
PART III. Boolean algebras of n-gonal theory
- 7. Idempotent-transfer. Residue class rings of principal ideal domains 93
- 8. Boolean algebras of the n-gonal theory I 104
- 9. Boolean algebras of the n-gonal theory II 116
-
PART IV. Atomic decompositions
- 10. Rational components of an n-gon 131
- 11. Complex components of an n-gon 141
- 12. The real components of an n-gon 149
-
Appendices
- 1. Lattices 167
- 2. Cyclotomic polynomials 179
- List of symbols and notations 187
- Index 189