Localization of a ring

Results: 19



#Item
11Commutative algebra / Algebraic structures / Module theory / Localization / Local ring / Completion / Noetherian ring / Ideal / Ring / Abstract algebra / Algebra / Ring theory

Exercises Chapter 1 1. What are the primary ideals of Z? 2. Let R = k[x, y] where k is a field. Show that Q = (x, y 2 ) is P -primary, and identify P. 3. Continuing Problem 2, show that Q is not a power of a prime ideal

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Source URL: www.math.uiuc.edu

Language: English - Date: 2007-06-09 00:09:54
12Commutative algebra / Algebraic structures / Prime ideals / Localization / Integral element / Ring / Integral domain / Ideal / Local ring / Abstract algebra / Algebra / Ring theory

Chapter 1 Introduction Techniques of abstract algebra have been applied to problems in number theory for a long time, notably in the effort to prove Fermat’s last theorem. As an introductory example, we will sketch a

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Source URL: www.math.uiuc.edu

Language: English - Date: 2008-08-05 22:17:48
13Quantum phases / Optical ring resonators / Anderson localization / Electronic filter / Lattice / Topological order / Condensed matter physics / Physics / Signal processing filter

Topologically Robust Transport of Photons in a Synthetic Gauge Field S. Mittal,1 J. Fan,1 S. Faez,2 A. Migdall,1 J. M. Taylor,1 and M. Hafezi1, ∗ arXiv:1404.0090v1 [physics.optics] 31 Mar[removed]

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Source URL: arxiv.org

Language: English - Date: 2014-04-01 20:21:08
14Algebraic number theory / Newton polygon / Commutative algebra / Localization / Measure theory / Valuation ring / Radon–Nikodym theorem / Abstract algebra / Algebra / Mathematics

Theorems of Sylvester and Schur T.N. Shorey An old theorem of Sylvester states that a product of k consecutive positive integers each exceeding k is divisible by a prime greater than k. We shall

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Source URL: www.math.tifr.res.in

Language: English - Date: 2007-07-25 06:46:24
15Ring theory / Field theory / Localization / Algebraic structures / Valuation / Discrete valuation ring / Integral element / Ring / Local ring / Abstract algebra / Algebra / Commutative algebra

MULTIPLICITIES AND REES VALUATIONS DANIEL KATZ AND JAVID VALIDASHTI To Professor D. Rees, in honor of his nintieth birthday Abstract. Let (R, m) be a local ring of Krull dimension d and I ⊆ R be an ideal with analytic

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Source URL: www.math.ku.edu

Language: English - Date: 2008-12-30 08:22:56
16Commutative algebra / Localization / Algebraic structures / Field theory / Valuation / Jacobson radical / Ideal / Local ring / Discrete valuation ring / Abstract algebra / Algebra / Ring theory

Rings with no Maximal Ideals Patrick J. Morandi In this note we give examples of a ring that has no maximal ideals. Recall that, by a Zorn’s lemma argument, a ring with identity has a maximal ideal. Therefore, we need

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Source URL: sierra.nmsu.edu

Language: English - Date: 2005-05-06 18:47:21
17Homological algebra / Algebraic topology / Algebraic geometry / Étale cohomology / Cohomology / Spectral sequence / Algebraic K-theory / Alexander Beilinson / Chow ring / Abstract algebra / Topology / Algebra

5. Lecture[removed]Quillen’s localization theorem and Bloch’s formula. Our next topic is a sketch of Quillen’s proof of Bloch’s formula, which is also a a brief discussion

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Source URL: www-bcf.usc.edu

Language: English - Date: 2009-02-18 20:49:29
18Ring theory / Localization / Algebraic structures / Commutative algebra / Valuation / Étale morphism / Local ring / Field / Ring / Abstract algebra / Algebra / Field theory

PERFECTOID SPACES PETER SCHOLZE Abstract. We introduce a certain class of so-called perfectoid rings and spaces, which

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Source URL: www.math.uni-bonn.de

Language: English - Date: 2011-11-19 11:50:16
19Elementary number theory / Parity / Singly and doubly even / Commutative algebra / Localization / Radon–Nikodym theorem / Valuation ring / Abstract algebra / Mathematics / Algebra

On the distribution in residue classes of integers with a fixed sum of digits by

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2005-03-01 15:29:47
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