Introduction to Non-Commutative Noetherian Rings (London Mathematical Society Student Texts 16)

Introduction to Non-Commutative Noetherian Rings (London Mathematical Society Student Texts 16)

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  • 製本 Paperback:紙装版/ペーパーバック版/ページ数 303 p.
  • 言語 ENG,ENG
  • 商品コード 9780521369251
  • DDC分類 512.4

Table of Contents

Introduction
Prologue
1. A few Noetherian rings
2. Prime ideals
3. Semisimple modules, Artinian modules, and
nonsingular modules
4. Injective hulls
5. Semisimple rings of fractions
6. Modules over semiprime goldie rings
7. Bimodules and affiliated prime ideals
8. Fully bounded rings
9. Rings of fractions
10. Artinian quotient rings
11. Links between prime ideals
12. Rings satisfying the second layer condition
13. Krull dimension
14. Numbers of generators of modules
15. Transcendental division algebras
Appendix.