7. Idempotent-transfer. Residue class rings of principal ideal domains

Kapitel in diesem Buch

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