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Local Algebra
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Product Description
This is an English translation of the now classic "Algèbre Locale - Multiplicités" originally published by Springer as LNM 11, in several editions since 1965. It gives a short account of the main theorems of commutative algebra, with emphasis on modules, homological methods and intersection multiplicities ("Tor-formula"). Many modifications to the original French text have been made by the author for this English edition: they make the text easier to read, without changing its intended informal character.
Language Notes
Text: English (translation)
Original Language: French
This is an English translation of the now classic "Algèbre Locale - Multiplicités" originally published by Springer as LNM 11, in several editions since 1965. It gives a short account of the main theorems of commutative algebra, with emphasis on modules, homological methods and intersection multiplicities ("Tor-formula"). Many modifications to the original French text have been made by the author for this English edition: they make the text easier to read, without changing its intended informal character.
Language Notes
Text: English (translation)
Original Language: French
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Inside This Book
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First Sentence:
This chapter summarizes standard results in commutative algebra. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
proj dim, filtered modules, filtered ring, unequal characteristic, noetherian local ring, regular local ring, homological dimension, homology modules, prime ideals, discrete valuation ring, minimal prime ideal, finitely generated algebra, noetherian domain, free resolution, regular ring, normal rings, intersection multiplicity, local rings, integral closure, intersection multiplicities, noetherian ring, intersection theory Key Phrases - Capitalized Phrases (CAPs): (learn more)
Intersection Multiplicity of Two Modules, Hilbert-Samuel Polynomials New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
This chapter summarizes standard results in commutative algebra. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
proj dim, filtered modules, filtered ring, unequal characteristic, noetherian local ring, regular local ring, homological dimension, homology modules, prime ideals, discrete valuation ring, minimal prime ideal, finitely generated algebra, noetherian domain, free resolution, regular ring, normal rings, intersection multiplicity, local rings, integral closure, intersection multiplicities, noetherian ring, intersection theory Key Phrases - Capitalized Phrases (CAPs): (learn more)
Intersection Multiplicity of Two Modules, Hilbert-Samuel Polynomials 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 10
books:
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28
books
cite this book:
See all 28 books citing this book
- Commutative Algebra (Elements of Mathematics) by Nicolas Bourbaki in Front Matter, and Back Matter
- Commutative algebra (Mathematics lecture note series) by Hideyuki Matsumura in Front Matter, and Back Matter
- The Algebraic Theory of Modular Systems (Cambridge Mathematical Library) by F. S. Macaulay in Back Matter
- Local Rings (Tracts in Pure & Applied Mathematics) by Masayoshi Nagata in Back Matter
- Local Fields (Graduate Texts in Mathematics) by Jean-Pierre Serre in Back Matter
See all 10 books this book cites
- Valued Fields (Springer Monographs in Mathematics) by Antonio J. Engler in Back Matter
- Nonstandard Analysis, Axiomatically (Springer Monographs in Mathematics) by Vladimir Kanovei in Back Matter
- Elementary and Analytic Theory of Algebraic Numbers (Springer Monographs in Mathematics) by Wladyslaw Narkiewicz in Back Matter
- Lie Algebras and Algebraic Groups (Springer Monographs in Mathematics) by Patrice Tauvel in Back Matter
- Serre's Problem on Projective Modules by T.Y. Lam in Back Matter
See all 28 books citing this book
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