From the reviews: "The book is well written. We find here many examples. Each chapter is followed by exercises, and at the end of the book there are outline solutions to some of them. [...] I especially appreciated the lively style of the book; […] one is quickly able to find necessary details." EMS Newsletter
Basic Homological Algebra
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Book Description
Editorial Reviews
Review
"The book is well written. We find here many examples. Each chapter is followed by exercises, and at the end of the book there are outline solutions to some of them. ... I especially appreciated the lively style of the book; compared with some other books on homological algebra, one has here the good feeling that one understands why a notion is defined in this way,that one can easily remember at least the structure of the theory, and that one is quickly able to find necessary details. The prerequisite for this book is a graduate course on algebra, but one get quite far with a modest knowledge of algebra. The book can be strongly recommended as a textbook for a course on homological algebra." EMS Newsletter, June 2001
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Inside This Book
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First Sentence:
Homological algebra addresses questions that appear naturally in category theory, so category theory is a good starting point. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
nontrivial essential extensions, nth kernel, long homology exact sequence, global dimension theorem, naturality part, projective dimension theorem, conglomerate theory, quasilocal rings, short exact rows, nth homology, flat resolution, additive covariant functor, left global dimension, unique filler, directed colimit, projective resolution, nonempty chain, injective envelope, nonzero prime ideal, injective resolution, enough projectives, pullback square, connecting homomorphisms, pushout square, additive category Key Phrases - Capitalized Phrases (CAPs): (learn more)
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Homological algebra addresses questions that appear naturally in category theory, so category theory is a good starting point. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
nontrivial essential extensions, nth kernel, long homology exact sequence, global dimension theorem, naturality part, projective dimension theorem, conglomerate theory, quasilocal rings, short exact rows, nth homology, flat resolution, additive covariant functor, left global dimension, unique filler, directed colimit, projective resolution, nonempty chain, injective envelope, nonzero prime ideal, injective resolution, enough projectives, pullback square, connecting homomorphisms, pushout square, additive category Key Phrases - Capitalized Phrases (CAPs): (learn more)
Apply Theorem New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 100
books:
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75
books
cite this book:
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- A Course in Homological Algebra (Graduate Texts in Mathematics) by Peter J. Hilton in Front Matter, and Back Matter
- An Introduction to Homological Algebra (Cambridge Studies in Advanced Mathematics) by Charles A. Weibel in Back Matter
- Functions of One Complex Variable (Graduate Texts in Mathematics - Vol 11) (v. 1) by John B Conway in Front Matter
- Algebraic Geometry (Graduate Texts in Mathematics) by Robin Hartshorne in Front Matter
- Commutative Rings by Irving Kaplansky in Back Matter
See all 100 books this book cites
- An Introduction to Markov Processes (Graduate Texts in Mathematics) by Daniel W. Stroock in Back Matter
- Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory (Graduate Texts in Mathematics) by Harold M. Edwards in Back Matter
- Functions of One Complex Variable (Graduate Texts in Mathematics - Vol 11) (v. 1) by John B Conway in Back Matter
- 1,001 Low-Fat Vegetarian Recipes: Delicious, Easy-to-Make, Healthy Meals for Everyone by Sue Spitler on page 197
- An Introduction to Number Theory (Graduate Texts in Mathematics) by G. Everest in Back Matter
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