Cohen-Macaulay rings (Record no. 1431609)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 02251cam a2200265 a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 2050429 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250611125032.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 930107s1993 enka b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0521410681 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | CSL |
| Transcribing agency | CSL |
| 041 ## - LANGUAGE CODE | |
| Source of code | eng |
| Language code of text/sound track or separate title | eng |
| 084 ## - COLON CLASSIFICATION NUMBER | |
| Classification number | B6: 2 N3 NBHM |
| Assigning agency | CSL |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Bruns, Winfried, |
| Relator term | author. |
| 9 (RLIN) | 454665 |
| 245 10 - TITLE STATEMENT | |
| Title | Cohen-Macaulay rings |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Cambridge : |
| Name of publisher, distributor, etc. | Cambridge University Press, |
| Date of publication, distribution, etc. | 1993. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xi, 403 p. : |
| Other physical details | ill. ; |
| Dimensions | 24 cm. |
| 440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Cambridge studies in advanced mathematics ; |
| Volume/sequential designation | 39 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references (p. 374-389) and index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | In the last two decades Cohen-Macaulay rings and modules have been central topics in commutative algebra. This book meets the need for a thorough, self-contained introduction to the homological and combinatorial aspects of the theory of Cohen-Macaulay rings, Gorenstein rings, local cohomology, and canonical modules. A separate chapter is devoted to Hilbert functions (including Macaulay's theorem) and numerical invariants derived from them. The authors emphasize the study of explicit, specific rings, making the presentation as concrete as possible. So the general theory is applied to Stanley-Reisner rings, semigroup rings, determinantal rings, and rings of invariants. Their connections with combinatorics are highlighted, e.g. Stanley's upper bound theorem or Ehrhart's reciprocity law for rational polytopes. The final chapters are devoted to Hochster's theorem on big Cohen-Macaulay modules and its applications, including Peskine-Szpiro's intersection theorem, the Evans-Griffith syzygy theorem, bounds for Bass numbers, and tight closure. Throughout each chapter the authors have supplied many examples and exercises which, combined with the expository style, will make the book very useful for graduate courses in algebra. As the only modern, broad account of the subject it will be essential reading for researchers in commutative algebra. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Cohen-Macaulay rings. |
| 9 (RLIN) | 812598 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | p methods |
| 9 (RLIN) | 812599 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Hilbert functions |
| 9 (RLIN) | 812600 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Herzog, Jürgen, |
| Relator term | author. |
| 9 (RLIN) | 465814 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Colon Classification (CC) |
| Suppress in OPAC | No |
| Koha item type | Textual |
| Classification part | B6: 2 N3 NBHM |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Source of acquisition | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Colon Classification (CC) | Central Science Library | Faculty of Mathematical Sciences Library | 2025-01-17 | N R Book Distributors | B6: 2 N3 NBHM | SL1656232 | 2025-06-11 | 2025-06-11 | Textual |