Includes current work of 38 renowned contributors that details the diversity of thought in the fields of commutative algebra and multiplicative ideal theory. Summarizes recent findings on classes of going-down domains and the going-down property, emphasizing new characterizations and applications, as well as generalizations for commutative rings with zero divisors.
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Inside This Book
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First Sentence:
Let R be a commutative Noetherian ring and I an ideal in R. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
semistar operation, cancellation module, restricted cancellation, cancellation ideal, reduced commutative ring, multiplicative lattices, basic generating set, finitely many integral domains, divisorial prime ideals, regular prime ideal, abstract commutative ideal theory, factoriality properties, few zero divisors, complete integral closure, unique minimal prime ideal, join principal ideal, quasilocal case, quasilocal domain, factorial ring, analytic deviation, quasilocal ring, abstract ideal theory, nonmaximal prime ideal, regular local domain, divisorial ideal Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Pure Appl, Department of Mathematics, Marcel Dekker, Lecture Notes, Algebra Universalis, Jim Huckaba, Michigan Math, Acta Math, University of Missouri, University of Tennessee, Pura Appl, Chicago Press, Duke Math, London Math, Acta Sci, Cambridge University Press, Nagoya Math, Studia Sci, The Dilworth Theorems, University of North Carolina, Acta Arith, Glasgow Math, Ibaraki Univ, Czechoslovak Math New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Let R be a commutative Noetherian ring and I an ideal in R. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
semistar operation, cancellation module, restricted cancellation, cancellation ideal, reduced commutative ring, multiplicative lattices, basic generating set, finitely many integral domains, divisorial prime ideals, regular prime ideal, abstract commutative ideal theory, factoriality properties, few zero divisors, complete integral closure, unique minimal prime ideal, join principal ideal, quasilocal case, quasilocal domain, factorial ring, analytic deviation, quasilocal ring, abstract ideal theory, nonmaximal prime ideal, regular local domain, divisorial ideal Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Pure Appl, Department of Mathematics, Marcel Dekker, Lecture Notes, Algebra Universalis, Jim Huckaba, Michigan Math, Acta Math, University of Missouri, University of Tennessee, Pura Appl, Chicago Press, Duke Math, London Math, Acta Sci, Cambridge University Press, Nagoya Math, Studia Sci, The Dilworth Theorems, University of North Carolina, Acta Arith, Glasgow Math, Ibaraki Univ, Czechoslovak Math 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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24
books
cite this book:
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- Commutative Rings by Irving Kaplansky on 7 pages
- Commutative Ring Theory (Lecture Notes in Pure and Applied Mathematics) by Paul-Jean Cahen on 6 pages
- Mathematical Programming with Data Perturbations (Lecture Notes in Pure and Applied Mathematics) by Anthony V. Fiacco in Front Matter (1), and Front Matter (2)
- Commutative Rings by Ayman Badawi on page 49, and page 72
- Ring Theory (Lecture notes in pure and applied mathematics ; 40) by Oystaeyen in Front Matter (1), and Front Matter (2)
See all 100 books this book cites
- Continuum Theory (Lecture Notes in Pure and Applied Mathematics) by Alejandro Illanes in Front Matter
- Polynomial Identities And Combinatorial Methods (Lecture Notes in Pure and Applied Mathematics) by Antonio Giambruno in Front Matter
- Evolution Equations (Lecture Notes in Pure and Applied Mathematics) by Gisele Ruiz Goldstein in Front Matter
- Rings, Modules, Algebras, and Abelian Groups (Lecture Notes in Pure and Applied Mathematics) by Alberto Facchini in Front Matter
- Non-Unique Factorizations: Algebraic, Combinatorial and Analytic Theory (Chapman & Hall/CRC Pure and Applied Mathematics) by Alfred Geroldinger in Back Matter
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