MARC details
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| fixed length control field |
03213nam a22003377a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240625175951.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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240620b |||||||| |||| 00| 0 hin 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 |
NISER LIBRARY |
| Language of cataloging |
eng |
| Transcribing agency |
NISER LIBRARY |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512.71 |
| Item number |
FER-H |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Ferretti, Andrea |
| 245 ## - TITLE STATEMENT |
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| Title |
Homological methods in commutative algebra |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc. |
Rhode Island : |
| Name of publisher, distributor, etc. |
American Mathematical Society, |
| Date of publication, distribution, etc. |
2023. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xviii, 411p. |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Graduate studies in mathematics, |
| Volume/sequential designation |
volume 234 |
| International Standard Serial Number |
1065-7339 ; |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
This book develops the machinery of homological algebra and its applications to commutative rings and modules. It assumes familiarity with basic commutative algebra, for example, as covered in the author's book, Commutative Algebra (Graduate Studies in Mathematics, Volume 233).<br/><br/>The first part of the book is an elementary but thorough exposition of the concepts of homological algebra, starting from categorical language up to the construction of derived functors and spectral sequences. A full proof of the celebrated Freyd-Mitchell theorem on the embeddings of small Abelian categories is included.<br/><br/>The second part of the book is devoted to the application of these techniques in commutative algebra through the study of projective, injective, and flat modules, the construction of explicit resolutions via the Koszul complex, and the properties of regular sequences. The theory is then used to understand the properties of regular rings, Cohen-Macaulay rings and modules, Gorenstein rings and complete intersections.<br/><br/>Overall, this book is a valuable resource for anyone interested in learning about homological algebra and its applications in commutative algebra. The clear and thorough presentation of the material, along with the many examples and exercises of varying difficulty, make it an excellent choice for self-study or as a reference for researchers. |
| 521 ## - TARGET AUDIENCE NOTE |
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| Target audience note |
Graduate students and researchers interested in commutative algebra. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Commutative algebra |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Algebra, Homological |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Commutative algebra -- Instructional exposition (textbooks, tutorial papers, etc.). |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Commutative algebra -- Homological methods -- Syzygies, resolutions, complexes. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Commutative algebra -- Homological methods -- Homological functors on modules (Tor, Ext, etc.). |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Commutative algebra -- Homological methods -- Local cohomology. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Commutative algebra -- Local rings and semilocal rings -- Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.). |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Table of Contents |
| Uniform Resource Identifier |
<a href="https://www.ams.org/bookstore/pspdf/gsm-234-toc.pdf?_gl=1*1wrvqmp*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTMwNTI2OC4zLjEuMTcxOTMxNzMwMy4wLjAuMA..">https://www.ams.org/bookstore/pspdf/gsm-234-toc.pdf?_gl=1*1wrvqmp*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTMwNTI2OC4zLjEuMTcxOTMxNzMwMy4wLjAuMA..</a> |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Index |
| Uniform Resource Identifier |
<a href="https://www.ams.org/bookstore/pspdf/gsm-234-index.pdf?_gl=1*xkpnze*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTMwNTI2OC4zLjEuMTcxOTMxODUzNy4wLjAuMA..">https://www.ams.org/bookstore/pspdf/gsm-234-index.pdf?_gl=1*xkpnze*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTMwNTI2OC4zLjEuMTcxOTMxODUzNy4wLjAuMA..</a> |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Reviews |
| Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/204849244-homological-methods-in-commutative-algebra?ref=nav_sb_ss_1_13#CommunityReviews">https://www.goodreads.com/book/show/204849244-homological-methods-in-commutative-algebra?ref=nav_sb_ss_1_13#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Universal Decimal Classification |
| Koha item type |
Book |
