Embeddings of graded rings into canonical modules and good ideals in Gorenstein rings

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著者

    • 居相, 真一郎 イアイ, シンイチロウ

書誌事項

タイトル

Embeddings of graded rings into canonical modules and good ideals in Gorenstein rings

著者名

居相, 真一郎

著者別名

イアイ, シンイチロウ

学位授与大学

明治大学

取得学位

博士 (理学)

学位授与番号

甲第219号

学位授与年月日

2000-03-26

注記・抄録

博士論文

目次

  1. CONTENTS / (0006.jp2)
  2. Preface / p1 (0007.jp2)
  3. Chapter I. Action of finite groups on Rees algebras and Gorensteinness in invariant subrings / p1 (0010.jp2)
  4. 1. Introduction / p1 (0010.jp2)
  5. 2. Proof of Theorem (2.4) / p3 (0012.jp2)
  6. 3. The case where I = m / p6 (0015.jp2)
  7. 4. Examples / p9 (0018.jp2)
  8. Chapter II. Embeddings of certain graded rings into their canonical modules / p12 (0021.jp2)
  9. 1. Introduction / p12 (0021.jp2)
  10. 2. Canonical F-filtrations / p16 (0025.jp2)
  11. 3. Embeddings of associated graded rings into their canonical modules / p21 (0030.jp2)
  12. 4. The Gorensteinness of [数式] versus that of [数式] / p23 (0032.jp2)
  13. 5. The case where Fi=[数式] for some equimultiple ideal I / p27 (0036.jp2)
  14. 6. The case where Fi=[数式] for some ideal I having analytic deviation one / p31 (0040.jp2)
  15. Chapter III. Good ideals in Gorenstein local rings / p36 (0045.jp2)
  16. 1. Introduction / p36 (0045.jp2)
  17. 2. Preliminaries / p43 (0052.jp2)
  18. 3. Good ideals in finite-dimensional Gorenstein graded algebras over fields / p46 (0055.jp2)
  19. 4. Good ideals in Artinian Gorenstein local rings obtained by idealization / p53 (0062.jp2)
  20. 5. A correspondence theorem in the case where dim A = 1 / p60 (0069.jp2)
  21. 6. Good ideals in one-dimensional reduced complete local rings of multiplicity 2 / p67 (0076.jp2)
  22. 7. Miscellaneous examples in the case where dim A = 1 and e(A)≥3 / p72 (0081.jp2)
  23. 8. A characterization of good ideals in the case where dim A = 2 / p75 (0084.jp2)
  24. 9. Good ideals in two-dimensional Gorenstein rational local rings / p84 (0093.jp2)
  25. 10. Monomial good ideals in the polynomial ring k[X₁, X₂, X₃] over a field k and the case where dim A≥3 / p90 (0099.jp2)
  26. References / p105 (0114.jp2)
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各種コード

  • NII論文ID(NAID)
    500000185903
  • NII著者ID(NRID)
    • 8000000186186
  • DOI(NDL)
  • NDL書誌ID
    • 000000350217
  • データ提供元
    • NDL ONLINE
    • NDLデジタルコレクション
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