이 항목의 온라인 사본 가지러 가는 중…도서관에서 사본 찾기
해당 항목에 대한 위치와 이용가능성을 보기WorldCat
전세계 도서관에서 찾기
이 항목을 소유하고 있는 전세계 도서관
상세정보
| 자료 유형: | 인터넷 자료 |
|---|---|
| 문서 유형 | 도서, 인터넷 자원 |
| 모든 저자 / 참여자: |
David Eisenbud |
| ISBN: | 9783540942696 3540942696 9780387942698 0387942696 9780387942681 0387942688 3540942688 9783540942689 |
| OCLC 번호: | 841233572 |
| 메모: | Literaturverz. S. 757 - 774 |
| 설명: | XVI, 797 S. graph. Darst. 24 cm |
| 내용: | Introduction; 0. Elementary Definitions; I. Basic Constructions; 1. Roots and Commutative Algebra; 2. Localization; 3. Associated Primes and Primary Decomposition; 4. Integral Dependence and the Nullstellensatz; 5. Filtrations and the Artin-Rees Lemma; 6. Flat Families; 7. Completions and Hensel's Lemma; II. Dimension Theory; 8. Introduction to Dimension Theory; 9. Fundamental Definitions of Dimension Theory; 10. The Principal Ideal Theorem and Systems of Parameters; 11. Dimension and Codimension One; 12. Dimension and Hilbert- Samuel Polynomials; 13. Dimension of Affine Rings; 14. Elimination Theory, Generic Freeness and the Dimension of Fibers; 15. Grobner Bases; 16. Modules of Differentials; III. Homological Methods; 17. Regular Sequence and the Koszul Complex; 18. Depth, Codimension and Cohen-Macaulay Rings; 19. Homological Theory of Regular Local Rings; 20. Free Resolutions and Fitting Invariants; 21. Duality, Canonical Modules and Gorenstein Rings; Appendix 1. Field Theory; Appendix 2. Multilinear Algebra; Appendix 3. Homological Algebra; Appendix 4. A Sketch of Local Cohomology; Appendix 5. Category Theory; Appendix 6. Limits and Colimits; Appendix 7. Where Next?; Hints and Solutions for Selected Exercises; References; Index of Notations; Index |
| 일련 제목: | Graduate texts in mathematics, 150 |
| 책임: | David Eisenbud |
초록:
This is a comprehensive review of commutative algebra, from localization and primary decomposition through dimension theory, homological methods, free resolutions and duality, emphasizing the origins
더 읽기…
해당 항목에 대한 메모 불러오기