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Prime ideals
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31	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
32	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
33	UNRAMIFIED QUATERNION EXTENSIONS OF QUADRATIC NUMBER FIELDS FRANZ LEMMERMEYER Introduction The first mathematician who studied Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:51 Quaternion algebra Hilbert class field Splitting of prime ideals in Galois extensions Algebraic number field Quadratic field Normal extension Galois module Field extension Ramification Abstract algebra Algebra Algebraic number theory
34	Preliminary version July 7, 2011 II Universit` a degli Studi di Roma Add to Reading List Source URL: www.mat.uniroma2.it Language: English - Date: 2011-07-12 14:25:38 Galois theory Splitting of prime ideals in Galois extensions Galois module Cyclic group Algebraic number field Inverse Galois problem Abstract algebra Algebra Algebraic number theory
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	THE SPECTRUM OF PRIME IDEALS IN TENSOR TRIANGULATED CATEGORIES PAUL BALMER Abstract. We define the spectrum of a tensor triangulated category K as the set of so-called prime ideals, endowed with a suitable topology. In t Add to Reading List Source URL: www.math.ucla.edu Language: English - Date: 2007-09-10 17:55:58 Category theory Homotopy theory Commutative algebra Homological algebra Triangulated category Support Spectrum of a ring Monoid Spectrum Abstract algebra Algebra Algebraic structures
38	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
39	Chapter 0 Ring Theory Background We collect here some useful results that might not be covered in a basic graduate algebra course. Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2009-10-02 11:19:14 Ideals Algebraic structures Commutative algebra Prime ideals Local ring Ring Maximal ideal Jacobson radical Integral domain Abstract algebra Algebra Ring theory
40	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

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