UID:
almahu_9947367602102882
Format:
1 online resource (131 p.)
ISBN:
1-281-77340-9
,
9786611773403
,
0-08-087125-9
Series Statement:
North-Holland mathematics studies ; 14
Content:
Divisor theory in module categories
Note:
Description based upon print version of record.
,
Front Cover; Divisor Theory in Module Categories; Copyright Page; Table of Contents; Preface; Chapter 1. Local Algebra; 1.1. Noetherian and Coherent Rings; 1.2. Local Rings; 1.3. Flatness; 1.4. Fitting's Invariants; Chapter 2. Homology of Local Rings; 2.1. Koszul Complexes; 2.2. Depth; 2.3. Macaulay Rings; 2.4. Projective and Injective Dimensions; 2.5. Euler Characteristics of Modules; 2.6. Gorenstein Rings; Appendix. Rings of Type One; Chapter 3. Divisorial Ideals; 3.1. Composition in Id(A); 3.2. Divisors; 3.3. Modules of Dimension one; Appendix. Higher Divisorial Ideals
,
Chapter 4. Spherical Modules and Divisors4.1. A Theorem of Gruson; 4.2. Change of Rings and Dimensions; 4.3. Spherical Modules; 4.4. Elementary Properties; 4.5. Resolutions and Divisors; Chapter 5. I - divisors; 5.1. Construction; 5.2. Euler Characteristics of Inj(A); 5.3. Divisors on Inj (A); Bibliography; Index
,
English
Additional Edition:
ISBN 0-444-10737-1
Language:
English
