Homological algebra (Record no. 64132)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 02029 a2200265 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 251206b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780691049915 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 513.83 CAR |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Cartan, Henri |
| 245 ## - TITLE STATEMENT | |
| Title | Homological algebra |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Princeton, New Jersey: |
| Name of publisher, distributor, etc | Princeton University Press, |
| Date of publication, distribution, etc | 1999. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xv, 390p.: |
| Other physical details | pbk.: |
| Dimensions | 23 cm |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Princeton Landmarks in Mathematics and Physics |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Include Index |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | When this book was written, methods of algebraic topology had caused revolutions in the world of pure algebra. To clarify the advances that had been made, Cartan and Eilenberg tried to unify the fields and to construct the framework of a fully fledged theory. The invasion of algebra had occurred on three fronts through the construction of cohomology theories for groups, Lie algebras, and associative algebras. This book presents a single homology (and also cohomology) theory that embodies all three; a large number of results is thus established in a general framework. Subsequently, each of the three theories is singled out by a suitable specialization, and its specific properties are studied.<br/><br/><br/>The starting point is the notion of a module over a ring. The primary operations are the tensor product of two modules and the groups of all homomorphisms of one module into another. From these, “higher order” derived of operations are obtained, which enjoy all the properties usually attributed to homology theories. This leads in a natural way to the study of “functors” and of their “derived functors.”<br/><br/>https://press.princeton.edu/books/paperback/9780691049915/homological-algebra?srsltid=AfmBOooWFqQOjyRP7Eq8WIjNWOh2tnHGc5blXX--jlUh8luESM-Mr27- |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebraic Topology |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Cohomology Theory |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Pure Algebra |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Module Theory |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Ring And Module Structures |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Tensor Products |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Eilenberg, Samuel |
| Relator term | Co-author |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Item type | Books |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Date last seen | Copy number | Cost, replacement price | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | General | IIT Gandhinagar | IIT Gandhinagar | 05/12/2025 | Kushal Book | 10200.00 | 513.83 CAR | 036486 | 05/12/2025 | 1 | 10200.00 | Books |
