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Prime ideal
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41	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
42	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
43	Solutions to Problems Chapter 1 1. The primary ideals are (0) and (pn ), p prime[removed]R/Q ∼ = k[y]/(y 2 ), and zero-divisors in this ring Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2007-06-09 00:11:02 Algebraic structures Field theory Commutative algebra Localization Prime ideal Ideal Ring homomorphism Valuation ring Local ring Abstract algebra Algebra Ring theory
44	SEPARATUM ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE TOMUS VIII Add to Reading List Source URL: server.math.umanitoba.ca Language: English - Date: 2014-06-08 03:34:56 Lattice theory Algebraic structures Order theory Prime ideals Boolean algebra Distributive lattice Ideal Lattice Complemented lattice Abstract algebra Mathematics Algebra
45	Armenian Journal of Mathematics Volume 2, Number 3, 2009, 105–119 h-prime and h-semiprime ideals -semirings and ( in Γ𝑁) Add to Reading List Source URL: ajm.asj-oa.am Language: English - Date: 2011-04-18 18:23:41 Ring theory Ideals Semiring Binary operations Entailment Semiprime ring Prime ideal Radical of an ideal Abstract algebra Algebra Algebraic structures
46	D. Eisenbud and E. G. Evans, Jr. Nagoya Math. J. Vol[removed]), 41-53 A GENERALIZED PRINCIPAL IDEAL THEOREM DAVID EISENBUD* AND E. GRAHAM EVANS, JR.* Add to Reading List Source URL: www.msri.org Language: English - Date: 2005-11-04 13:11:39 Ring theory Module theory Prime ideals Ideals Finitely-generated module Depth Polynomial ring Noetherian ring Commutative ring Abstract algebra Algebra Commutative algebra
47	Séminaire Dubreil. Algèbre DAVID E ISENBUD Notes on an extension of Krull’s principal ideal theorem Séminaire Dubreil. Algèbre, tome 28, no[removed]), exp. no 20, p. 1-4. Add to Reading List Source URL: www.msri.org Language: English - Date: 2007-03-15 02:15:01 Ring theory Algebraic structures Prime ideals Ideals Maximal ideal Local ring Depth Ring Spectrum of a ring Abstract algebra Algebra Commutative algebra
48	Sage Reference Manual: General Rings, Ideals, and Morphisms Release 6.3 The Sage Development Team Add to Reading List Source URL: www.sagemath.org Language: English - Date: 2014-11-16 14:58:23 Ring theory Algebraic structures Dedekind domain Krull dimension Ring Commutative ring Polynomial ring Integral domain Prime ideal Abstract algebra Algebra Commutative algebra
49 $Prime ideal / Euclidean algorithm / Field theory / Prime numbers / Modular arithmetic / Partial fraction / Splitting field / Abstract algebra / Mathematics / Algebra$	Solutions Chapters 1–5 Section[removed]Under multiplication, the positive integers form a monoid but not a group, and the positive even integers form a semigroup but not a monoid. 2. With \|a\| denoting the order of a, we Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2008-12-24 22:45:51 Prime ideal Euclidean algorithm Field theory Prime numbers Modular arithmetic Partial fraction Splitting field Abstract algebra Mathematics Algebra
50	Chapter 4 Factoring of Prime Ideals in Extensions 4.1 Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2009-03-16 22:58:56 Algebraic number theory Commutative algebra Ring theory Modular arithmetic Number theory Integral domain Unique factorization domain Prime ideal Quadratic residue Abstract algebra Algebra Mathematics

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