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Commutative algebra
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271	Commit: 6ed92f8527de1b84dd020ae49e70d477b0458f93 algebra.tex, lemma-NAK, Lemma[removed]Nakayama’s lemma.) If M is a finite nonzero module over R, then mM 6= M . Proof. Here is a silly way to prove this: If mM = M for M f Add to Reading List Source URL: math.columbia.edu Language: English - Date: 2014-11-16 20:36:09 Lemmas Homological algebra Ideal Commutative algebra Nakayama lemma Simple module Abstract algebra Algebra Module theory
272	Sage Reference Manual: Power Series Rings Release 6.6.beta0 The Sage Development Team Add to Reading List Source URL: sagemath.org Language: English - Date: 2015-02-21 07:35:20 Commutative algebra Algebraic structures Field theory Localization Sage Commutative ring Ring Polynomial ring Discrete valuation ring Abstract algebra Algebra Ring theory
273	Sage Reference Manual: Schemes Release 6.6.beta0 The Sage Development Team February 21, 2015 Add to Reading List Source URL: sagemath.org Language: English - Date: 2015-02-21 07:35:22 Scheme theory Algebraic varieties Commutative algebra Projective geometry Scheme Group scheme Projective space Quasiprojective variety Toric variety Abstract algebra Algebraic geometry Geometry
274	Sage Reference Manual: General Rings, Ideals, and Morphisms Release 6.6.beta0 The Sage Development Team Add to Reading List Source URL: sagemath.org Language: English - Date: 2015-02-21 07:35:22 Ring theory Algebraic structures Dedekind domain Krull dimension Ring Commutative ring Polynomial ring Integral domain Prime ideal Abstract algebra Algebra Commutative algebra
275	ACTA ARITHMETICA LXXXI[removed]On the arithmetic structure of the integers whose sum of digits is fixed by Add to Reading List Source URL: matwbn.icm.edu.pl Language: English - Date: 2007-05-15 00:08:30 Image processing Commutative algebra Localization Symbol Radon–Nikodym theorem Abstract algebra Mathematical analysis Algebra
276	Sage Reference Manual: Polynomial Rings Release 6.6.beta0 The Sage Development Team Add to Reading List Source URL: sagemath.org Language: English - Date: 2015-02-21 07:35:20 Mathematics Commutative algebra Invariant theory Algebraic geometry Ring theory Polynomial Gröbner basis Laurent polynomial Univariate Abstract algebra Algebra Polynomials
277	Sage Reference Manual: Standard Commutative Rings Release 6.6.beta0 The Sage Development Team Add to Reading List Source URL: sagemath.org Language: English - Date: 2015-02-21 07:35:20 Ring theory Field theory Algebraic structures Algebraic number theory Commutative algebra Ring of integers Ring Sage Integer Abstract algebra Algebra Mathematics
278	GORENSTEIN INJECTIVE, PROJECTIVE AND FLAT (PRE)COVERS E. ENOCHS, S. ESTRADA and A. IACOB Abstract. We prove that if the ring R is left noetherian and if the class GI of Gorenstein injective modules is closed under filtra Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2014-05-23 08:15:45 Homological algebra Ring theory Commutative algebra Algebraic geometry Injective module Gorenstein ring Flat module Finitely-generated module Projective module Abstract algebra Algebra Module theory
279	Liouville’s Theorem on Integration in Terms of Elementary Functions R.C. Churchill Prepared for the Kolchin Seminar on Differential Algebra (KSDA) Add to Reading List Source URL: math.hunter.cuny.edu Language: English - Date: 2005-09-17 14:03:11 Ring theory Algebraic structures Commutative algebra Field theory Differential algebra Polynomial ring Field extension Differential operator Field Abstract algebra Mathematics Algebra
280	Noncommutative Involutive Bases Thesis submitted to the University of Wales in support of the application for the degree of Philosophiæ Doctor by Add to Reading List Source URL: www.maths.bangor.ac.uk Language: English - Date: 2006-02-03 11:51:29 Ring theory Polynomials Commutative algebra Invariant theory Monomial order Order theory Algorithm Polynomial ring Ring Abstract algebra Mathematics Algebra

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