MARC details
| 000 -LEADER |
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| fixed length control field |
02164nam a2200301 i 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
ISI Library, Kolkata |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20260511153446.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
260511b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470474362 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
ISI Library |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Edition number |
23 |
| Classification number |
512.55 |
| Item number |
F387 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Ferretti, Andrea, |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
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| Title |
Homological methods in commutative algebra / |
| Statement of responsibility, etc |
Andrea Ferretti. |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
First edition. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Providence, Rhode Island : |
| Name of publisher, distributor, etc |
American Mathematical Society, |
| Date of publication, distribution, etc |
2024. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xviii, 411 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
26 cm |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
Graduate studies in mathematics ; |
| Volume number/sequential designation |
volume 234 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Categories and functors -- Abelian categories -- Derived functors -- Spectral sequences -- Projective and injective modules -- Flatness -- Koszul complexes and regular sequences -- Regularity -- Mild singularities -- Local cohomology and duality. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
This advanced textbook develops the machinery of homological algebra and demonstrates its applications in commutative algebra. Beginning with category theory and Abelian categories, the book systematically introduces derived functors, Ext and Tor modules, spectral sequences, projective and injective modules, flatness, regular sequences, local cohomology, and duality theory. The author carefully connects abstract homological methods with the structural study of commutative rings and modules, including regular rings, Cohen-Macaulay rings, Gorenstein rings, and complete intersections. Numerous examples, exercises, and theoretical discussions illustrate the interaction between algebra, topology, algebraic geometry, and homological techniques. Written for graduate students and researchers, the work provides a rigorous yet accessible introduction to modern homological methods in commutative algebra and related mathematical disciplines. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Commutative algebra. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Algebra, Homological. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Modules (Algebra) |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Category theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Algebraic geometry. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
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| Uniform title |
Graduate studies in mathematics ; |
| Volume number/sequential designation |
234. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
Books |
| Source of classification or shelving scheme |
Dewey Decimal Classification |
