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Prime ideal
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31	ON MAXIMAL TORSION RADICALS, IV John A. Beachy Department of Mathematical Sciences Northern Illinois University, DeKalb, IL[removed]E-mail: [removed] Add to Reading List Source URL: www.math.niu.edu Language: English - Date: 2014-09-11 21:19:02 Ring theory Homological algebra Commutative algebra Ideals Projective module Essential extension Module Prime ideal Uniform module Abstract algebra Algebra Module theory
32	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
33	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
34	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
35	CONSTRUCTION OF HILBERT 2-CLASS FIELDS FRANZ LEMMERMEYER Abstract. Let F be a number field with odd class number, and suppose that k/F is a quadratic extension. We will deal with the problem of constructing parts of the Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:18 Quadratic field Hilbert class field Algebraic number field Ideal class group Splitting of prime ideals in Galois extensions Discriminant Reciprocity law Quaternion algebra Field extension Abstract algebra Algebra Algebraic number theory
36	THE 4-CLASS GROUP OF REAL QUADRATIC NUMBER FIELDS FRANZ LEMMERMEYER Abstract. In this paper we give an elementary proof of results on the structure of 4-class groups of real quadratic number fields originally due to A. S Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:59 Mathematics Quadratic field Discriminant Quaternion algebra Splitting of prime ideals in Galois extensions Algebraic number field Quadratic reciprocity Ideal class group Discriminant of an algebraic number field Abstract algebra Algebraic number theory Algebra
37	Various Facets of Rings between D[X] and K[X] Muhammad Zafrullah Department of Mathematics, Idaho State University, Pocatello, ID[removed]E-mail: [removed] Add to Reading List Source URL: www.lohar.com Language: English - Date: 2005-12-29 21:29:43 Ring theory Valuation ring Commutative ring Polynomial ring Ring Prime ideal Ideal Krull dimension Integral domain Abstract algebra Algebra Commutative algebra
38	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
39	Algebraic Number Theory, a Computational Approach William Stein November 14, 2012 2 Add to Reading List Source URL: sage.math.washington.edu Language: English - Date: 2012-11-14 13:32:54 Field theory Galois theory Algebraic number field Class field theory Ideal class group Galois module Prime number Field Galois cohomology Abstract algebra Algebra Algebraic number theory
40	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

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