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An introduction to homological algebra

An introduction to homological algebra (Loan 4 times)

Material type
단행본
Personal Author
Rotman, Joseph J., 1934-.
Title Statement
An introduction to homological algebra / Joseph J. Rotman.
Publication, Distribution, etc
New York :   Academic Press,   c1979.  
Physical Medium
xi, 376 p. : ill. ; 23 cm.
Series Statement
Pure and applied mathematics, a series of monographs and textbooks ;85.
ISBN
0125992505
Bibliography, Etc. Note
Includes bibliographical references (p. 367-369) and index.
Subject Added Entry-Topical Term
Algebra, Homological.
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001 000000111816
005 20150728153213
008 790117s1979 nyua b 001 0 eng
010 ▼a 78020001 //r86
020 ▼a 0125992505
040 ▼a DLC ▼c DLC ▼d m.c. ▼d 211009
049 1 ▼l 421007570 ▼f 과학 ▼l 421036410 ▼f 과학
050 0 ▼a QA3 ▼b .P8 vol. 85 ▼a QA169
082 0 4 ▼a 512.64 ▼2 23
084 ▼a 512.64 ▼2 DDCK
090 ▼a 512.64 ▼b R848i
100 1 ▼a Rotman, Joseph J., ▼d 1934-.
245 1 3 ▼a An introduction to homological algebra / ▼c Joseph J. Rotman.
260 ▼a New York : ▼b Academic Press, ▼c c1979.
300 ▼a xi, 376 p. : ▼b ill. ; ▼c 23 cm.
490 1 ▼a Pure and applied mathematics, a series of monographs and textbooks ; ▼v 85.
504 ▼a Includes bibliographical references (p. 367-369) and index.
650 0 ▼a Algebra, Homological.
830 0 ▼a Pure and applied mathematics (Academic Press) ; ▼v 85.

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No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Main Library/Education Reserves(Large Size)/ Call Number 512.64 R848i Accession No. 412612049 Availability Available Due Date Make a Reservation Service B M
No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Science & Engineering Library/Sci-Info(Stacks2)/ Call Number 512.64 R848i Accession No. 421007570 Availability Available Due Date Make a Reservation Service B M
No. 2 Location Science & Engineering Library/Sci-Info(Stacks2)/ Call Number 512.64 R848i Accession No. 421036410 Availability Available Due Date Make a Reservation Service B M
No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Sejong Academic Information Center/Science & Technology/ Call Number 512.64 R848i Accession No. 452012582 Availability Available Due Date Make a Reservation Service M
No. 2 Location Sejong Academic Information Center/Science & Technology/ Call Number 512.64 R848i Accession No. 452016073 Availability Available Due Date Make a Reservation Service M

Contents information

Table of Contents

Preface


Contents


1. Introduction


Line Integrals and Independence of Path


Categories and Functors


Tensor Products


Singular Homology


2. Hom and ⓧ


Modules


Sums and Products


Exactness


Adjoints


Direct Limits


Inverse Limits


3. Projectives, Injectives, and Flats


Free Modules


Projective Modules


Injective Modules


Watts’ Theorems


Flat Modules


Purity


Localization


4. Specific Rings


Noetherian Rings


Semisimple Rings


Von Neumann Regular Rings


Hereditary and Dedekind Rings


Semihereditary and Prufer Rings


Quasi-Frobenius Rings


Local Rings and Artinian Rings


Polynomial Rings


5. Extensions of Groups


6. Homology


Homology Functors


Derived Functors


7. Ext


Elementary Properties


Ext and Extensions


Axioms


8. Tor


Elementary Properties


Tor and Torsion


Universal Coefficient Theorems


9. Son of Specific Rings


Dimensions


Hilbert's Syzygy Theorem


Serre's Theorem


Mixed Identities


Commutative Noetherian Local Rings


10. The Return of Cohomology of Groups


Homology Groups


Cohomology Groups


Computations and Applications


11. Spectral Sequences


Exact Couples and Five-Term Sequences


Derived Couples and Spectral Sequences


Filtrations and Convergence


Bicomplexes


Kunneth Theorems


Grothendieck Spectral Sequences


More Groups


More Modules


References


Index




Information Provided By: : Aladin

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