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Noetherian
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41	Algebra - Spring 2012 Daren Cheng Jesse Madnick Last updated: September 2013 Acknowledgments & Disclaimers Some of the solutions contained herein are my own, but many are not. I am indebted to Daren Cheng for sharing wit Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2014-07-04 08:19:56 Field theory Finite field Free abelian group Presentation of a group Noetherian ring Module theory Representation theory of finite groups Finitely-generated module Abstract algebra Algebra Ring theory
42	Zariski Geometries Geometry from the logician’s point of view Boris Zilber 20 March 2009 Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2009-04-06 06:28:36 Scheme theory Algebraic varieties Model theory General topology Zariski topology Zariski geometry Noetherian topological space Quasiprojective variety Oscar Zariski Abstract algebra Algebraic geometry Geometry
43	Workshop on Rings at Warwick University of Warwick, May 10, 2002 An Introduction to Universal Localization at Prime Ideals John A. Beachy University of Glasgow and Northern Illinois University In the study of commutative Add to Reading List Source URL: www.math.niu.edu Language: English - Date: 2002-05-09 15:17:05 Algebraic structures Commutative ring Noetherian ring Ring Ideal Local ring Matrix ring Torsion Jacobson radical Abstract algebra Algebra Ring theory
44	LINKED PRIMES AND ORDERS IN ARTINIAN RINGS John A. Beachy and Christine M. Leroux Abstract: It is shown that prime ideals of a Noetherian ring are linked if and only if certain corresponding prime ideals are linked in an Add to Reading List Source URL: www.math.niu.edu Language: English - Date: 2014-08-22 12:42:52 Commutative algebra Module theory Ideals Algebraic structures Noetherian ring Ring Prime ideal Artinian ring Primary ideal Abstract algebra Algebra Ring theory
45	Can. J. Math., Vol. XXVII, No. 1,1975, pp[removed]ON MAXIMAL TORSION RADICALS, II JOHN A. BEACHY L e t R be an associative ring with identity, and let ^Jé denote the category of unital left i^-modules. T h e Walkers [ Add to Reading List Source URL: www.math.niu.edu Language: English - Date: 2014-08-21 18:00:21 Ideals Prime ideals Ring theory Module theory Noetherian ring Minimal prime Radical of an ideal Torsion Krull dimension Abstract algebra Algebra Commutative algebra
46	Algebraic Geometry I Fall 2013 Eduard Looijenga Rings are always supposed to possess a unit element 1 and a ring homomorphism will always take unit to unit. We allow that 1 = 0, but in that case we get of course the zer Add to Reading List Source URL: www.staff.science.uu.nl Language: English - Date: 2013-12-26 23:18:31 Irreducible component Ideal Unique factorization domain Prime ideal Ring Algebraic variety Noetherian topological space Zariski topology Polynomial ring Abstract algebra Algebra Ring theory
47	Chapter 5 Dimension Theory The geometric notion of the dimension of an aﬃne algebraic variety V is closely related to algebraic properties of the coordinate ring of the variety, that is, the ring of polynomial functio Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2007-06-09 11:06:04 Ring theory Module theory Algebraic structures Ideals Noetherian ring Commutative ring Hilbert series and Hilbert polynomial Dedekind domain Krull dimension Abstract algebra Algebra Commutative algebra
48	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 Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2007-06-09 00:09:54 Commutative algebra Algebraic structures Module theory Localization Local ring Completion Noetherian ring Ideal Ring Abstract algebra Algebra Ring theory
49	Chapter 1 Primary Decomposition and Associated Primes[removed] Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2009-10-14 11:55:44 Commutative algebra Ring theory Ideals Algebraic structures Associated prime Lasker–Noether theorem Noetherian ring Annihilator Primary ideal Abstract algebra Algebra Module theory
50	Chapter 6 Depth 6.1 Systems of Parameters Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2007-06-06 11:22:53 Commutative algebra Module theory Homological algebra Dimension Depth Noetherian ring Regular local ring Krull dimension Ring Abstract algebra Algebra Ring theory

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